Trimester Seminar

Venue: HIM, Poppelsdorfer Allee 45, Lecture Hall

Friday, January 12th, 14:30

What is... an associator?

Leila Schneps (Institut de Mathématiques de Jussieu)

Recorded talk  Lecture notes

Friday, January 12th, 11:00

What is... relative completion?

Richard Hain (Duke University)

Lecture notes

Thursday, January 11th, 11:00

What is… a motivic Galois group?

Yves André (Institut de Mathématiques de Jussieu)

Recorded talk  Lecture notes

Tuesday, January 9th, 18:00

Special Laurent polynomials and Apery numbers via normal functions

Matthew Kerr (Washington University in St. Louis)

Tuesday, January 9th, 16:30

Introduction to mirror symmetry: special Laurent polynomials

Vasily Golyshev (National Research University Higher School of Economics (HSE))

Monday, January 8th, 18:00

Introduction to mirror symmetry: generic Laurent polynomials

Hiroshi Iritani (Kyoto University)

Monday, January 8th, 16:30

Introduction to mirror symmetry: four geographies

Vasily Golyshev (National Research University Higher School of Economics (HSE))

Monday, January, 8th, 15:00 

Introductory Words and Talks

Christoph Thiele (HIM), Don Zagier (MPIM) and Spencer Bloch (The University of Chicago/MPIM)

Friday, January, 5th, 14:00

Modular arrangements

Andrey Levin (LMS NRU HSE) 

Lecture notes I  Lecture notes II

 
Abstract

I want to present a potential source of periods of geometrical origin which can be interesting for number theory.
The square X2 of the modular curve X=H/SL2(Z) is naturally equipped with a collection of curves, the so-called modular correspondences. A finite set of these curves is called a modular arrangement. A pair of arrangements  in generic position determines some period, corresponding to the cohomology group of the complement of the first arrangement modulo the second.