Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday

Collection Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday

Organizer(s)

Date(s) 13/05/2024

00:00:00 / 00:00:00

8 24

Hilbert's thirteenth problem and the moduli space of abelian varieties

Hilbert's XIII problem

The (multi-valued) solution of a general polynomial of degree n is a priori a function of n-1 variables. Hilbert's thirteenth problem and its variants ask when such functions can be written as a composite of functions in a smaller number of variables. I will explain some progress on this question which uses the geometry of A_g.This is joint work with Benson Farb and Jesse Wolfson.

Information about the video

Date of recording 11/06/2018
Date of publication 26/06/2018
Institution IHES
Format MP4

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All the collection videos

01:27:53

published on June 29, 2018

Entretien avec Ofer Gabber (CNRS & IHES) mené par Luc Illusie (Université Paris-Sud)

By Ofer Gabber

16:45

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Entretien avec Luc Illusie, Université Paris-Sud

By Luc Illusie

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01:01:45

published on June 25, 2018

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By Geordie Williamson

53:20

published on June 26, 2018

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By Mark Kisin

53:28

published on June 25, 2018

Rigid local systems and (some) finite groups

By Nick Katz

01:05:03

published on June 26, 2018

Prisms and deformations of de Rham cohomology

By Bhargav Bhatt

01:08:47

published on June 26, 2018

Perfectoid spaces and log-regular rings

By Lorenzo Ramero

01:09:21

published on June 26, 2018

p-adic K-theory of p-adic rings

By Peter Scholze

01:02:42

published on June 26, 2018

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By Yves André

01:11:40

published on June 27, 2018

Arakelov geometry on degenerating curves

By Gerd Faltings

01:04:47

published on June 28, 2018

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By Kazuya Kato

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published on June 28, 2018

Hochschild and cyclic homology of log schemes

By Martin Olsson

01:09:44

published on June 30, 2018

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By Adrian Vasiu

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published on June 30, 2018

Fundamental local equivalence for quantum geometric Langlands

By Dennis Gaitsgory

01:13:33

published on January 27, 2015

Spreading-out of rigid-analytic families and observations on p-adic Hodge theory

By Ofer Gabber

01:07:37

published on June 30, 2018

Perverse equivariant sheaves on loop Lie algebras, and affine Springer theory

By Yakov Varshavsky

01:09:45

published on July 1, 2018

Deligne's geometrical approach to the product formula for l-adic epsilon factors

By Fabrice Orgogozo

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Characteristic cycle of constructible sheaves and restriction to curves

By Takeshi Saito

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Compatible systems along the boundary

By Weizhe Zheng

01:12:16

published on June 30, 2018

Spreading-out for families of rigid analytic spaces (joint work with Brian Conrad)

By Ofer Gabber

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