2024-02-15T07:31:17Z

Hom54528:

<div class="res-img">[[File:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div>
= Conference: Nearby Cycles and Derived Geometry (Feb 26 - Mar 1 2024)=

__TOC__

==Aim and Scope==
The geometry of nearby cycles, using microlocal methods or motivic approaches, has recently seen spectacular advances in many different directions: symplectic geometry, non-archimedean analytic geometry, or arithmetic geometry, using more and more tools from derived algebraic geometry and higher category theory. This has many applications in mirror symmetry, in the Langlands program, or in ramification theory, for instance. This conference aims at gathering experts from different fields to emulate progress in different branches of geometry.
 
==List of Speakers==
*Tomoyuki Abe
*Alexander Efimov
*Martin Gallauer
*Sally Gilles
*Haoyu Hu
*Fangzhou Jin
*Xin Jin
*Tasuki Kinjo
*Massimo Pippi
*Mauro Porta
*Charanya Ravi
*Nicolò Sibilla
*Hiro Lee Tanaka
*Alberto Vezzani
*Gabriele Vezzosi
*Enlin Yang
*Yuri Yatagawa 

==Practical Information==

<div class="res-img">[[File:Regensburg-Dom.jpg|480px|left]]</div>

'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]

'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building.

'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area:

[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) 

[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) 

[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) 

[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)

[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)

[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) 

'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] 
 

==Venue==

All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).

One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).

Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.

==Program and Schedule==

{| text-align="center" align="center" cellpadding="10" cellspacing="0" border=1
!
! Monday February 26
! Tuesday February 27
! Wednesday February 28
! Thursday February 29
! Friday March 1
|-
| style="padding: 20px"|9:30 - 10:30
| Hiro Lee Tanaka
| Tasuki Kinjo
| Alberto Vezzani
| Massimo Pippi
| Yuri Yatagawa
|-
| style="text-align:center;" |10:30 - 11:00
| Coffee break & Registration
| Coffee break
| Coffee break
| Coffee break
| Coffee break
|-
|style="padding: 20px"|11:00 - 12:00
| Nicolò Sibilla
| Mauro Porta
| Martin Gallauer
| Enlin Yang
| Alexander Efimov
|-
| style="padding: 20px"|12:00 - 14:00
| Lunch
| Lunch
| Lunch
| Lunch
|
|-
| style="padding: 20px"|14:00 - 15:00
| Xin Jin
| Sally Gilles
| Free afternoon
| Tomoyuki Abe
|
|-
| style="text-align:center;" |15:00 - 15:30
| Coffee break
| Coffee break
|
| Coffee break
|
|-
| style="padding: 20px"|15:30 - 16:30
|Charanya Ravi
|Gabriele Vezzosi
|
|Haoyu Hu
|
|-
| style="text-align: center"|16:30 - 17:00
|
| Coffee break
|
|
|
|-
| style="padding: 20px"|17:00 - 18:00
|
| Fangzhou Jin
|
|
|
|}

 

'''Hiro Lee Tanaka: Towards an A model over the sphere'''

Famously, mirror symmetry tells us that certain derived algebraic invariants can be recovered purely through symplectic geometry. And, from the beginnings of this story, it was anticipated that arithmetic (e.g., p-adic) information can both be gleaned from, and help us understand, the physics of mirror symmetry. Much less developed is the story of mirror symmetry over the sphere — both the B model (spectral algebraic geometry) and the A Model (spectral Fukaya categories) are not yet full-fledged. In this talk I'll talk about joint work with Jacob Lurie on constructing a spectrally enriched A model.

'''Nicolò Sibilla: Elliptic cohomology and mapping stacks'''

in this talk I will report on work on elliptic cohomology with Tomasini and Scherotzke. With Tomasini we give a new construction of equivariant elliptic cohomology in terms of a stack of maps out of the elliptic curve. This construction generalizes beautiful recent work of Moulinos-Robalo-Toën to the equivariant setting, and brings elliptic cohomology closer to well known constructions in algebraic geometry such as (secondary) Hochschild homology. Also it opens the way to possible non-commutative generalizations. With Scherotzke we show that equivariant elliptic cohomology is not a derived invariant, thus confirming the heuristics that elliptic cohomology captures higher categorical information. This depends on a careful analysis of the equivariant elliptic cohomology of toric varieties.

'''Tasuki Kinjo: Derived microlocal geometry and virtual invariants'''

We will introduce a derived geometric generalization of the microlocal sheaf theory, which gives a new perspective on virtual invariants for derived moduli spaces. As an application, we will construct a Hall algebra structure on the cohomological Donaldson-Thomas invariants for the canonical bundle of smooth algebraic surfaces, which gives a 3d refinement of the 2d cohomological Hall algebra due to Kapranov-Vasserot. This talk is based on a forthcoming joint work with Adeel Khan.

'''Mauro Porta: Homotopy theory of Stokes data and derived moduli'''

Stokes data are the combinatorial counterpart of irregular meromorphic connections in the Riemann-Hilbert correspondence. In dimension 1, they have been studied by Deligne and Malgrange. In higher dimensions the situation is intrinsically more complicated, but the solution of Sabbah's resolution conjecture by Mochizuki and Kedlaya unlocked a much deeper understanding of the Stokes phenomenon. In recent work with Jean-Baptiste Teyssier, we develop a framework to define and study Stokes data with coefficients in any presentable stable infinity category. As an application, we construct a derived moduli stack parametrizing Stokes data in arbitrary dimensions, extending all previously known representability results. One fundamental input is a finiteness theorem for the stratified homotopy types of algebraic and compact real analytic varieties that we obtained in collaboration with Peter Haine and that extends finiteness theorems for the underlying homotopy types of Lefschetz–Whitehead, Łojasiewicz and Hironaka.

'''Sally Gilles: Duality in p-adic geometry'''

I will discuss some duality theorems for p-adic proétale cohomology of analytic spaces. The duality results follow from de Rham dualities after applying a comparison theorem that allows to express proétale cohomology as a filtered Frobenius eigenspace of the de Rham cohomology. This comparison theorem comes from a local computation of the p-adic nearby cycles computing the p-adic proétale cohomology. This is based on a joint work with Pierre Colmez and Wieslawa Niziol.

'''Gabriele Vezzosi: Analogs of Beilinson-Drinfeld's Grassmannian on a surface'''

Beilinson-Drinfeld's Grassmannian on an algebraic curve is an important
object in Representation Theory and in the Geometric Langlands Program.
I will describe some analogs of this construction when the curve is replaced by a surface,
together with related preliminary results.
This is partly a joint work with Benjamin Hennion (Orsay) and Valerio Melani (Florence),
and partly a joint work in progress with Andrea Maffei (Pisa) and Valerio Melani (Florence).

'''Fangzhou Jin: The limit and boundary characteristic classes in Borel-Moore motivic homology'''

We define limit and boundary characteristic classes in Borel-Moore motivic homology, and compare them with Aluffi's pro-Chern-Schwartz-MacPherson class and Kato-Saito's Swan class respectively. This is a joint work with P. Sun and E. Yang.

'''Alberto Vezzani: Analytic motives and nearby cycles functors - Part I'''

We will discuss some recent advances in motivic homotopy theory in the context of p-adic analytic geometry. In this first talk, we give motivic definitions of the Hyodo-Kato cohomology and (relative) rigid cohomology and prove some new finiteness properties for them. We also show how the motivic nearby cycles functor and the motivic monodromy operators simplify the proof of the p-adic weight monodromy conjecture for smooth projective hypersurfaces. This is a survey on some work obtained with F. Binda, V. Ertl, M. Gallauer and H. Kato.

'''Martin Gallauer: Analytic motives and nearby cycles functors - Part II'''

We continue discussing recent advances in motivic homotopy theory with a view towards p-adic (analytic) geometry. In this second talk, we show how to lift monodromy operators on nearby cycles to the motivic level. This breaks up naturally into two steps: producing operators at the motivic level, and identifying them under realizations in various cohomology theories. We shall explain both in detail, thereby also justifying the new approach to Hyodo-Kato cohomology described in the first talk. If time permits, we will construct the associated Clemens-Schmid sequence as conjectured by Flach-Morin. This is joint work with J. Ayoub, F. Binda, and A. Vezzani.

'''Massimo Pippi: Non-commutative nature of l-adic vanishing cycles'''

The connection between categories of matrix factorizations and vanishing cycles is well known.
More recently, A. Blanc, M. Robalo, B. Toën and G. Vezzosi extended this connection also in positive and mixed characteristics.
They showed that the l-adic cohomology of the singularity category of the special fiber of a scheme over a dvr coincides with the (homotopy) fixed points with respect to the action of the inertia group of vanishing cohomology.
In this talk, I will explain how to recover the whole vanishing cohomology in terms of categories of matrix factorizations. This is joint work with D. Beraldo.

'''Enlin Yang: Cohomological Milnor formula for constructible etale sheaves'''

In this talk, we will sketch the construction of non-acyclicity classes for constructible etale sheaves on (not necessarily smooth) varieties, which is defined in a recent joint work with Yigeng Zhao. This cohomological class is supported on the non-locally acyclicity locus. As applications, we show that the Milnor formula and Bloch's conductor formula can be reformulated in terms of the functorial properties of non-acyclicity classes. Based on this formalism, we propose a Milnor type formula for non-isolated singularities.

'''Haoyu Hu: Boundedness of Betti numbers for étale sheaves'''

The calculation of Betti numbers of étale sheaves has many applications in number theory. In this talk, we discuss a boundedness result for Betti numbers of étale sheaves on smooth schemes with wild ramifications along the boundary. The ramification bound of nearby cycle complexes is involved in the project. This is a joint work with Jean-Baptiste Teyssier.

'''Yuri Yatagawa: Partially logarithmic characteristic cycles and index formula'''

We consider a computation in terms of ramification theory for the characteristic cycle of a constructible sheaf on a smooth variety,
which is defined by Beilinson-Saito with vanishing cycles. For this purpose, we introduce an algebraic cycle called "partially logarithmic
characteristic cycle" for a rank one sheaf using ramification theory as a candidate for computation and discuss the index formula
for the candidate and the computation for the characteristic cycle of a rank one sheaf.

==Streaming Information==
The conference will be streamed on Zoom. The Zoom link will be posted here before the start of the conference.
 
==Registration==
'''Pre-Registration:''' Registration for in-person attendance is closed. 
'''Registration:''' Registered participants will receive the conference documents on the first day from Birgit Tiefenbach (office in room M301).
 
==Conference Poster==
<div class="res-img">[[File:nearby_cycles5.png| center]]</div>
You can download the conference poster [[Media:Nearby_cycles5.pdf| here]].
 
==Organizers ==
'''Denis-Charles Cisinski''' 
'''Marc Hoyois'''
 
==Conference Picture==
 
==Sponsors of the conference==
This conference is funded by '''SFB 1085 "Higher Invariants"'''

Nearby cycles and derived geometry

2024-02-14T08:35:39Z

Hom54528:

<div class="res-img">[[File:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div>
= Conference: Nearby Cycles and Derived Geometry (Feb 26 - Mar 1 2024)=

__TOC__

==Aim and Scope==
The geometry of nearby cycles, using microlocal methods or motivic approaches, has recently seen spectacular advances in many different directions: symplectic geometry, non-archimedean analytic geometry, or arithmetic geometry, using more and more tools from derived algebraic geometry and higher category theory. This has many applications in mirror symmetry, in the Langlands program, or in ramification theory, for instance. This conference aims at gathering experts from different fields to emulate progress in different branches of geometry.
 
==List of Speakers==
*Tomoyuki Abe
*Alexander Efimov
*Martin Gallauer
*Sally Gilles
*Haoyu Hu
*Fangzhou Jin
*Xin Jin
*Tasuki Kinjo
*Massimo Pippi
*Mauro Porta
*Charanya Ravi
*Nicolò Sibilla
*Hiro Lee Tanaka
*Alberto Vezzani
*Gabriele Vezzosi
*Enlin Yang
*Yuri Yatagawa 

==Practical Information==

<div class="res-img">[[File:Regensburg-Dom.jpg|480px|left]]</div>

'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]

'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building.

'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area:

[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) 

[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) 

[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) 

[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)

[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)

[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) 

'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] 
 

==Venue==

All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).

One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).

Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.

==Program and Schedule==

{| text-align="center" align="center" cellpadding="10" cellspacing="0" border=1
!
! Monday February 26
! Tuesday February 27
! Wednesday February 28
! Thursday February 29
! Friday March 1
|-
| style="padding: 20px"|9:30 - 10:30
| Hiro Lee Tanaka
| Tasuki Kinjo
| Alberto Vezzani
| Massimo Pippi
| Yuri Yatagawa
|-
| style="text-align:center;" |10:30 - 11:00
| Coffee break & Registration
| Coffee break
| Coffee break
| Coffee break
| Coffee break
|-
|style="padding: 20px"|11:00 - 12:00
| Nicolò Sibilla
| Mauro Porta
| Martin Gallauer
| Enlin Yang
| Alexander Efimov
|-
| style="padding: 20px"|12:00 - 14:00
| Lunch
| Lunch
| Lunch
| Lunch
|
|-
| style="padding: 20px"|14:00 - 15:00
| Xin Jin
| Sally Gilles
| Free afternoon
| Tomoyuki Abe
|
|-
| style="text-align:center;" |15:00 - 15:30
| Coffee break
| Coffee break
|
| Coffee break
|
|-
| style="padding: 20px"|15:30 - 16:30
|Charanya Ravi
|Gabriele Vezzosi
|
|Haoyu Hu
|
|-
| style="text-align: center"|16:30 - 17:00
|
| Coffee break
|
|
|
|-
| style="padding: 20px"|17:00 - 18:00
|
| Fangzhou Jin
|
|
|
|}

 

'''Hiro Lee Tanaka: Towards an A model over the sphere'''

Famously, mirror symmetry tells us that certain derived algebraic invariants can be recovered purely through symplectic geometry. And, from the beginnings of this story, it was anticipated that arithmetic (e.g., p-adic) information can both be gleaned from, and help us understand, the physics of mirror symmetry. Much less developed is the story of mirror symmetry over the sphere — both the B model (spectral algebraic geometry) and the A Model (spectral Fukaya categories) are not yet full-fledged. In this talk I'll talk about joint work with Jacob Lurie on constructing a spectrally enriched A model.

'''Nicolò Sibilla: Elliptic cohomology and mapping stacks'''

in this talk I will report on work on elliptic cohomology with Tomasini and Scherotzke. With Tomasini we give a new construction of equivariant elliptic cohomology in terms of a stack of maps out of the elliptic curve. This construction generalizes beautiful recent work of Moulinos-Robalo-Toën to the equivariant setting, and brings elliptic cohomology closer to well known constructions in algebraic geometry such as (secondary) Hochschild homology. Also it opens the way to possible non-commutative generalizations. With Scherotzke we show that equivariant elliptic cohomology is not a derived invariant, thus confirming the heuristics that elliptic cohomology captures higher categorical information. This depends on a careful analysis of the equivariant elliptic cohomology of toric varieties.

'''Tasuki Kinjo: Derived microlocal geometry and virtual invariants'''

We will introduce a derived geometric generalization of the microlocal sheaf theory, which gives a new perspective on virtual invariants for derived moduli spaces. As an application, we will construct a Hall algebra structure on the cohomological Donaldson-Thomas invariants for the canonical bundle of smooth algebraic surfaces, which gives a 3d refinement of the 2d cohomological Hall algebra due to Kapranov-Vasserot. This talk is based on a forthcoming joint work with Adeel Khan.

'''Mauro Porta: Homotopy theory of Stokes data and derived moduli'''

Stokes data are the combinatorial counterpart of irregular meromorphic connections in the Riemann-Hilbert correspondence. In dimension 1, they have been studied by Deligne and Malgrange. In higher dimensions the situation is intrinsically more complicated, but the solution of Sabbah's resolution conjecture by Mochizuki and Kedlaya unlocked a much deeper understanding of the Stokes phenomenon. In recent work with Jean-Baptiste Teyssier, we develop a framework to define and study Stokes data with coefficients in any presentable stable infinity category. As an application, we construct a derived moduli stack parametrizing Stokes data in arbitrary dimensions, extending all previously known representability results. One fundamental input is a finiteness theorem for the stratified homotopy types of algebraic and compact real analytic varieties that we obtained in collaboration with Peter Haine and that extends finiteness theorems for the underlying homotopy types of Lefschetz–Whitehead, Łojasiewicz and Hironaka.

'''Sally Gilles: Duality in p-adic geometry'''

I will discuss some duality theorems for p-adic proétale cohomology of analytic spaces. The duality results follow from de Rham dualities after applying a comparison theorem that allows to express proétale cohomology as a filtered Frobenius eigenspace of the de Rham cohomology. This comparison theorem comes from a local computation of the p-adic nearby cycles computing the p-adic proétale cohomology. This is based on a joint work with Pierre Colmez and Wieslawa Niziol.

'''Gabriele Vezzosi: Analogs of Beilinson-Drinfeld's Grassmannian on a surface'''

Beilinson-Drinfeld's Grassmannian on an algebraic curve is an important
object in Representation Theory and in the Geometric Langlands Program.
I will describe some analogs of this construction when the curve is replaced by a surface,
together with related preliminary results.
This is partly a joint work with Benjamin Hennion (Orsay) and Valerio Melani (Florence),
and partly a joint work in progress with Andrea Maffei (Pisa) and Valerio Melani (Florence).

'''Fangzhou Jin: The limit and boundary characteristic classes in Borel-Moore motivic homology'''

We define limit and boundary characteristic classes in Borel-Moore motivic homology, and compare them with Aluffi's pro-Chern-Schwartz-MacPherson class and Kato-Saito's Swan class respectively. This is a joint work with P. Sun and E. Yang.

'''Alberto Vezzani: Analytic motives and nearby cycles functors - Part I'''

In this first talk, we will discuss some recent advances in the theory of motivic homotopy theory in the context of p-adic analytic geometry. In particular, we give motivic definitions of the Hyodo-Kato cohomology and (relative) rigid cohomology and prove some new finiteness properties for them. We also show how the motivic nearby cycles functor and the motivic monodromy operators simplify the proof of the p-adic weight monodromy conjecture for smooth projective hypersurfaces. This is a survey on some work obtained with F. Binda, V. Ertl, M. Gallauer and H. Kato.

'''Massimo Pippi: Non-commutative nature of l-adic vanishing cycles'''

The connection between categories of matrix factorizations and vanishing cycles is well known.
More recently, A. Blanc, M. Robalo, B. Toën and G. Vezzosi extended this connection also in positive and mixed characteristics.
They showed that the l-adic cohomology of the singularity category of the special fiber of a scheme over a dvr coincides with the (homotopy) fixed points with respect to the action of the inertia group of vanishing cohomology.
In this talk, I will explain how to recover the whole vanishing cohomology in terms of categories of matrix factorizations. This is joint work with D. Beraldo.

'''Enlin Yang: Cohomological Milnor formula for constructible etale sheaves'''

In this talk, we will sketch the construction of non-acyclicity classes for constructible etale sheaves on (not necessarily smooth) varieties, which is defined in a recent joint work with Yigeng Zhao. This cohomological class is supported on the non-locally acyclicity locus. As applications, we show that the Milnor formula and Bloch's conductor formula can be reformulated in terms of the functorial properties of non-acyclicity classes. Based on this formalism, we propose a Milnor type formula for non-isolated singularities.

'''Haoyu Hu: Boundedness of Betti numbers for étale sheaves'''

The calculation of Betti numbers of étale sheaves has many applications in number theory. In this talk, we discuss a boundedness result for Betti numbers of étale sheaves on smooth schemes with wild ramifications along the boundary. The ramification bound of nearby cycle complexes is involved in the project. This is a joint work with Jean-Baptiste Teyssier.

'''Yuri Yatagawa: Partially logarithmic characteristic cycles and index formula'''

We consider a computation in terms of ramification theory for the characteristic cycle of a constructible sheaf on a smooth variety,
which is defined by Beilinson-Saito with vanishing cycles. For this purpose, we introduce an algebraic cycle called "partially logarithmic
characteristic cycle" for a rank one sheaf using ramification theory as a candidate for computation and discuss the index formula
for the candidate and the computation for the characteristic cycle of a rank one sheaf.

==Streaming Information==
The conference will be streamed on Zoom. The Zoom link will be posted here before the start of the conference.
 
==Registration==
'''Pre-Registration:''' Registration for in-person attendance is closed. 
'''Registration:''' Registered participants will receive the conference documents on the first day from Birgit Tiefenbach (office in room M301).
 
==Conference Poster==
<div class="res-img">[[File:nearby_cycles5.png| center]]</div>
You can download the conference poster [[Media:Nearby_cycles5.pdf| here]].
 
==Organizers ==
'''Denis-Charles Cisinski''' 
'''Marc Hoyois'''
 
==Conference Picture==
 
==Sponsors of the conference==
This conference is funded by '''SFB 1085 "Higher Invariants"'''

Nearby cycles and derived geometry

2024-02-12T09:27:43Z

Hom54528:

Nearby cycles and derived geometry

2024-02-12T09:26:30Z

Hom54528: add Streaming section

Nearby cycles and derived geometry

2024-02-09T08:08:40Z

Hom54528:

Nearby cycles and derived geometry

2024-02-09T08:07:28Z

Hom54528:

Nearby cycles and derived geometry

2024-02-09T08:06:40Z

Hom54528: added schedule