Cid36224 at 10:05, 2 June 2022

2022-06-02T10:05:58Z

← Older revision		Revision as of 12:05, 2 June 2022
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	exponential periods singles out the correct set of complex numbers to		exponential periods singles out the correct set of complex numbers to
	be called exponential periods.		be called exponential periods.

	~~(Joint work with Philipp Habegger and Annette Huber.)~~

Cid36224: Created page with "Let α ∈ ℂ be an exponential period. In this talk I will present on joint work with Philipp Habegger and Annette Huber. We show that the real and imaginary part of α are..."

2022-06-02T10:05:34Z

Created page with "Let α ∈ ℂ be an exponential period. In this talk I will present on joint work with Philipp Habegger and Annette Huber. We show that the real and imaginary part of α are..."

New page

Let α ∈ ℂ be an exponential period. In this talk I will
present on joint work with Philipp Habegger and Annette Huber. We show
that the real and imaginary part of α are up to signs volumes of sets
definable in the o-minimal structure generated by ℚ, the real
exponential function and sin|_[0,1]. This is a weaker analogue of the
precise characterisation of ordinary periods as numbers whose real and
imaginary part are up to signs volumes of ℚ-semialgebraic sets; and it
points to a relation between the theory of periods and o-minimal
structures. No prior knowledge of o-minimality is assumed.

Furthermore, we compare the definition of naive exponential periods to
the existing definitions of cohomological exponential periods and
periods of Nori motives and show that they all lead to the same notion.
In particular, naive exponential periods are the same as periods of
exponential Nori motives, which justifies that the definition of naive
exponential periods singles out the correct set of complex numbers to
be called exponential periods.

(Joint work with Philipp Habegger and Annette Huber.)

Exponential periods and o-minimality - Revision history

Cid36224 at 10:05, 2 June 2022

Cid36224: Created page with "Let α ∈ ℂ be an exponential period. In this talk I will present on joint work with Philipp Habegger and Annette Huber. We show that the real and imaginary part of α are..."