[iasmath-semru] Mathematics Seminars -- Week of April 23, 2018

[Anthony V. Pulido]

INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540

Mathematics Seminars
Week of April 23, 2018


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To view mathematics in titles and abstracts, please click on the talk's link.
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Monday, April 23

Princeton/IAS Symplectic Geometry Seminar
Topic: 		Mirror spaces from formal deformation of Lagrangians and their gluing.
Speaker: 	Hansol Hong, Harvard University
Time/Room: 	4:00pm - 5:00pm/Simonyi Hall 101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=135648



Tuesday, April 24

Joint IAS/Princeton University Number Theory Seminar
Topic: 		To be announced
Speaker: 	Michael Lipnowski, Member, School of Mathematics
Time/Room: 	4:45pm - 5:45pm/Simonyi Hall 101



Thursday, April 26

Working Group on Algebraic Number Theory
Speaker: 	To Be Announced
Time/Room: 	2:00pm - 4:00pm/1201 Fine Hall, Princeton University

Joint IAS/Princeton University Number Theory Seminar
Topic: 		Ax-Schanuel results for Shimura varieties
Speaker: 	Jonathan Pila, University of Oxford
Time/Room: 	4:30pm - 5:30pm/Fine Hall 214, Princeton University
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=136751

1 Mirror spaces from formal deformation of Lagrangians and their gluing.
    Hansol Hong

For given a Lagrangian in a symplectic manifold, one can consider 
deformation of A-infinity algebra structures on its Floer complex by 
degree 1 elements satisfying the Maurer-Cartan equation. The space of 
such degree 1 elements can be thought of as giving a local chart of the 
mirror. In this talk, I will explain how to glue local charts from 
different Lagrangians using isomorphisms between Lagrangians in the 
Fukaya category.

As an application, we will discuss the mirror construction for Gr(2,4) 
that recovers its Lie-theoretical mirror.

http://www.math.ias.edu/seminars/abstract?event=135648

2 Ax-Schanuel results for Shimura varieties
    Jonathan Pila

I will describe recent work with Ngaiming Mok and Jacob Tsimerman giving 
analogues of "Ax-Schanuel" for Shimura varieties. I will sketch the role 
of "o-minimal structures" in the proof, in particular point counting and 
powerful algebraicity results of Peterzil-Starchenko, in combination 
with hyperbolic geometry and monodromy, and describe versions in the 
setting of a differential field.

http://www.math.ias.edu/seminars/abstract?event=136751

IAS Math Seminars Home Page:
http://www.math.ias.edu/seminars