Workshop: Gauge theory and its application to geometry and low-dimensional topology

Aims and Scope

The aim of this workshop is to bring together researchers in gauge theory and mathematicians applying gauge theoretic methods in geometry and low-dimensional topology. The workshop will take place at the University of Regensburg in the week 17-21 July 2023. There will be two lecture courses and several scientific talks, furthermore, if time permits some shorter presentations.

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).

In order to navigate to the math department, we recommend the plan called "Detailed map of the campus" available on the web page "https://www.uni-regensburg.de/contact/maps" see "here for a direct link". Search for "Mathematics" in this plan. 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 math building, use the staircase next to the main entrance and go up to the top.

Zoom

The lecture series by Konno and Eismeier will be streamed through zoom. The zoom meeting Id is 69308261052 (the passcode is the year Donaldson's theorem A was proved. Hint: He proved it in the second year of his PhD thesis)

Videos

https://mediathek2.uni-regensburg.de/list/2558

List of Speakers

Lecture Courses:

Hokuto Konno (University of Tokyo, currently at MIT Boston): Seiberg-Witten theory for families
Mike Miller Eismeier (Columbia University): Compactness and gluing for (framed) instantons

Research talks:

Mike Miller Eismeier (Columbia University)
Kim Frøyshov (University of Oslo)
Paolo Ghiggini (Université de Grenoble)
Marco Golla (Université de Nantes)
Andras Juhasz (University of Oxford)
Hokuto Konno (University of Tokyo)
Langte Ma (Stony Brook University)
Tomasz Mrowka (MIT Boston)
Katherine Raoux (University of Arkansas)
Masaki Taniguchi (Kyoto University)
Thomas Walpuski (Humboldt University Berlin)

Registered Participants

Balázs Mark Békési (University of Hannover)
Filippo Bianchi (University of Pisa)
Marcel Bigorajski (University of Göttingen)
Dennis Borisov (University of Windsor, Canada)
Xinle Dai (Harvard University)
Partha Sarathi Ghosh (University of Brussels)
Sudipta Ghosh (MPI Bonn)
Tathagata Ghosh (University of Leeds)
Ian Hambleton (McMaster University)
Chris Herald (University of Nevada, Reno)
Gard Olav Helle (University of Southern Denmark)
Alfred Holmes (University of Oxford)
Christopher Johnson (Durham University)
Michael Kohn (Durham University)
Jiakai Li (Harvard University)
Filip Misev (University of Regensburg)
Gabriel Montoya Vega (CUNY)
Juan Muñoz-Echániz (Columbia University)
Samuel Muñoz-Echániz (University of Cambridge, UK)
Tien Nguyen (University of Oxford)
Roland Púček (University of Jena)
Max Schult (University of Hannover)
Ivan So (Michigan State University)
Liao Wenbo (University of Regensburg)
Alex Xu (Columbia University)

Schedule

Monday	Tuesday	Wednesday	Thursday	Friday
08:45 - 09:15 Registration
09:15 - 10:15 Eismeier I	09:15 - 10:15 Konno II	09:15 - 10:15 Eismeier III	09:15 - 10:15 Konno IV	09:15 - 10:05 Taniguchi
10:15 - 10:45 Coffee/Tea	10:15 - 10:45 Coffee/Tea	10:15 - 10:45 Coffee/Tea	10:15 - 10:45 Coffee/Tea	10:05 - 10:30 Coffee/Tea
10:45 - 11:45 Konno I	10:45 - 11:45 Eismeier II	10:45 - 11:45 Konno III	10:45 - 11:45 Eismeier IV	10:30 - 11:20 Eismeier (talk)
12:00 - 12:30 Hambleton/Holmes		12:00 - 12:50 Juhasz	12:00 - 12:30 S. Ghosh/Helle	11:40 - 12:30 Konno (talk)
12:30 - 15:00 LUNCH	11:45 - 14:00 LUNCH	12:50 LUNCH	12:30 - 15:00 LUNCH	12:30 LUNCH
15:00 - 15:50 Golla	14:00 - 14:50 Raoux	Free afternoon	15:00 - 15:50 Ma	End of the conference
15:50 - 16:20 Coffee/Tea	14:50 - 15:20 Coffee/Tea		15:50 - 16:20 Coffee/Tea
16:20 - 17:10 Walpuski	15:20 - 16:10 Mrowka		16:20 - 17:10 Froyshov
17:20 - 17:50 Munoz-Echaniz/P. Ghosh	16:30 - 17:20 Ghiggini		17:20 - 17:50 Li/Herald
	19:30 - Conference Dinner in Restaurant "Leerer Beutel"

Abstracts

Abstracts

Organizers

Bernd Ammann (University of Regensburg)
Stefan Friedl (University of Regensburg)
Raphael Zentner (Durham University/MPIM Bonn)

The secretaries for the conference are Rosina Bonn (Rosina.Bonn@mathematik.uni-regensburg.de) and Theresa Koller (Theresa1.Koller@mathematik.uni-regensburg.de)

Conference Poster and Website

The conference poster is available here.

The shortlink for this conference web page is http://tiny.cc/gauge2023.

Registration, Housing, Proposal of talk, Limited support

To register, please visit the following webpage: Registration page.

Partial funding: We have limited means to support participants of the conference. If you are interested in support, please apply as soon as possible. The deadline for applying is 24 May, and we will decide shortly afterwards.

Proposal of talk: If time permits we'll devote some time slots for presentation of short talks by participants. If you are interested, please indicate so on the registration page no later than 24 May.

Help with accomodation: During the week of our conference, there are some large events in Regensburg, which makes the availability of hotel rooms tight. We currently have reserved some hotel rooms, if you are interested, please register as soon as possible, (a final deadline will be published soon, we have to investigate with the hotels.)

Practical Information

City of Regensburg: Regensburg is a Unesco World Heritage site that is famous for its well preserved medieval city center, the famous stone bridge and its beautiful Gothic cathedral. Further information can be found here.

Access to the venue: One can reach the University by following the instructions here. We also recommend the following collection of maps, in particular the Detailed map of the campus; here search for the building labeled MATH. The conference will take place in the lecture hall M311 in this building, which is in the top floor.

Internet: Access to eduroam is available throughout the Mathematics Building. We also have an open Wireless LAN (BayernWlan) on campus.

Sponsors of the conference

This workshop is funded by the Kepler-Forschungs-Zentrum Mathematik (KFZM) in Regensburg. This institute is named after the famous astronomer Johannes Kepler, who owned a house in Regensburg which is now the Kepler museum.
We thank the SFB 1085 "Higher Invariants" for providing the lecture room and further infrastructure.

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