Akshay Venkatesh - (Derived) moduli of local systems in number theory [2019]
Abstract
If X is a complex variety, we can form a moduli space M of local systems parameterizing representations of pi_1(X).
One would like to do the same in arithmetic situations -- if X is a curve over a finite field, or the ring of integers of a number field. Here we can only construct a shadow of M, remembering some of its formal geometry. However, there are many indications that a more satisfactory theory should exist, and I will review three of them in my talk.
(Derived) moduli of local systems in number theory
Introductory Workshop: Derived Algebraic Geometry And Birational Geometry And Moduli Spaces January 31, 2019 - February 08, 2019
February 08, 2019 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Akshay Venkatesh (Stanford University)
Location: MSRI: Simons Auditorium
http://www.msri.org/workshops/862/schedules/25988
Видео Akshay Venkatesh - (Derived) moduli of local systems in number theory [2019] канала Graduate Mathematics
If X is a complex variety, we can form a moduli space M of local systems parameterizing representations of pi_1(X).
One would like to do the same in arithmetic situations -- if X is a curve over a finite field, or the ring of integers of a number field. Here we can only construct a shadow of M, remembering some of its formal geometry. However, there are many indications that a more satisfactory theory should exist, and I will review three of them in my talk.
(Derived) moduli of local systems in number theory
Introductory Workshop: Derived Algebraic Geometry And Birational Geometry And Moduli Spaces January 31, 2019 - February 08, 2019
February 08, 2019 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Akshay Venkatesh (Stanford University)
Location: MSRI: Simons Auditorium
http://www.msri.org/workshops/862/schedules/25988
Видео Akshay Venkatesh - (Derived) moduli of local systems in number theory [2019] канала Graduate Mathematics
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
SummerSchool 20060807 1430 Ullmo - The André-Oort conjecture and Manin-MumfordSidney Coleman lecture 33Points and Flags - Sir Michael Atiyah [2011]Film Interviews with Leading Thinkers: John Coates [2008]Will Sawin (ETH Zürich) - Trace functions and special functions [2017]Film Interviews with Leading Thinkers: Ken Moody [2008]Philippe Flajolet, founder of Analytic Combinatorics (2012)Sidney Coleman lecture 32Remembrances/Tributes to Atle Selberg (from family and friends) 2/3 [2008]SummerSchool 20060804 1000 Darmon - Stark-Heegner pointsIndex Theory, survey - Stephan Stolz [2018]4.2 Complex Functions [Lecture 4 - Complex Analysis, Rataional and Meromorphic Asymptotics]SummerSchool 20060804 1430 Chambert Loir - Equidistribution on Berkovich spacesMichael Atiyah, Why mathematicians find it hard to writeTerence Tao - The Erdős discrepancy problem [2017]Larry Guth (MIT) - 2/3 Ingredients of the proof of decoupling [MSRI 2017]Igor Pak (UCLA) - The combinatorics and complexity of integer sequences [2017]Distribution of arithmetic functions (2/6), Emmanuel Kowalski (ETH Zuerich) [2015]Ugo Bruzzo 2/3 [Mini-Course: Algebraic Geometry For Physicists]Wall Crossing Old and New - Cumrun Vafa [2010]