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Home » Hot Topics: Galois Theory of Periods and Applications

Workshop

Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017
To apply for Funding you must register by: December 26, 2016 8 months ago
Parent Program: --
Series: Hot Topic, Hot Topic
Location: MSRI: Simons Auditorium, Atrium
Organizers LEAD Francis Brown (University of Oxford), Clément Dupont (Université de Montpellier), Richard Hain (Duke University), Vadim Vologodsky (University of Oregon)
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Description
Periods are integrals of algebraic differential forms over algebraically-defined domains and are ubiquitous in mathematics and physics. A deep idea, originating with Grothendieck, is that there should be a Galois theory of periods. This general principle provides a unifying approach to several problems in the theory of motives, quantum groups and geometric group theory.  This conference will bring together leading experts around this subject and cover topics such as the theory of multiple zeta values, modular forms, and motivic fundamental groups.   Group Photo
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Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI has preferred rates at the Hotel Durant, depending on room availability. Reservations may be made by calling 1-800-238-7268 OR directly on their website. When making reservations, guests must request the MSRI preferred rate. Click on "Promo/Corporate Code" at the top of the page and enter the code 123MSRI (this code is not case sensitive).

MSRI has a preferred rate at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount. To book online visit this page. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule
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Mar 27, 2017
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Galois theory of period and the André-Oort conjecture
Yves Andre (Centre National de la Recherche Scientifique (CNRS))
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Motivic Gamma Functions and recursion
Spencer Bloch (Retired)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Elliptic multiple zeta values and periods
Nils Matthes (Max-Planck-Institut für Mathematik)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  Period Polynomial Relations among Double Zeta Values and Various Generalizations
Ding Ma (Duke University)
Mar 28, 2017
Tuesday
09:30 AM - 10:30 AM
  Why you should care about motives
Annette Huber-Klawitter (Albert-Ludwigs-Universität Freiburg)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Outer space, symplectic derivations of free Lie algebras and modular forms
Karen Vogtmann (University of Warwick)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  A Galois theory of exponential periods
Javier Fresán (ETH Zürich)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Galois actions on operads
Geoffroy Horel (Université de Paris XIII (Paris-Nord))
04:30 PM - 06:20 PM
  Reception
Mar 29, 2017
Wednesday
09:00 AM - 10:00 AM
  The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem
Anton Alekseev (Université de Genève)
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  A stabilizer interpretation de double shuffle Lie algebras
Benjamin Enriquez (Université de Strasbourg)
11:30 AM - 12:30 PM
  the operad structure of $\overline{M_{0,n+1}}({\mathbb{R}})$
Anton Khoroshkin ( Higher School of Economics)
Mar 30, 2017
Thursday
09:30 AM - 10:30 AM
  Quotients of Kontsevich's "Lie" Lie algebra
Jim Conant (University of Tennessee)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Motivic Euler numbers and an arithmetic count of the lines on a cubic surface.
Kirsten Wickelgren (Georgia Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Galois theory for motivic cyclotomic multiple zeta values
Claire Glanois (Max-Planck-Institut für Mathematik)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Motives arising from higher homotopy theory of hyperplane arrangements.
Deepam Patel (Purdue University)
05:00 PM - 06:00 PM
  Motives and derivations of free Lie algebras
Richard Hain (Duke University)
Mar 31, 2017
Friday
09:30 AM - 10:30 AM
  Motivic Galois groups, following Ayoub and Nori
Martin Gallauer (University of California, Los Angeles)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  p-adic periods via perfectoid spaces
Kiran Kedlaya (University of California, San Diego)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Iterated p-adic integrals and rational points on curves
Jennifer Balakrishnan (Boston University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  A Galois theory of supercongruences
Julian Rosen (University of Michigan)