RTG Student Seminar

from Saturday
June 01, 2019 to Tuesday
December 31, 2019
Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars

Friday
August 30, 2019

11:00 AM - 12:00 AM
Math Tower 5-127
Andrew Hanlon, Stony Brook University
An Overview of Homological Mirror Symmetry

In this talk, we will discuss some of the historical background and motivation for homological mirror symmetry. We will describe in minimal details the symplectic and algebraic objects involved in order to give a glimpse of where this seminar is headed.


Friday
September 06, 2019

11:00 AM - 12:00 AM
Math Tower 5-127
Yuhan Sun, Stony Brook University
A first look at Lagrangian Floer theory

This is an introductory talk to define the Lagrangian Floer (co)homology which comes from studying intersections of Lagrangian submanifolds and holomorphic disks. I will focus on examples to convey the ideas behind this topic. Technical details will only be presented by pictures. Prerequisites will be kept minimal.


Friday
September 13, 2019

11:00 AM - 12:00 AM
Math Tower 5-127
Yi Wang, Stony Brook University
Product and higher operations in Lagrangian Floer theory

Continuing with Yuhan's talk, I will define the triangle product on the Floer complex, which descends to an associative product structure on cohomology. At chain level, however, the product is only associative up to homotopy given by higher-order operations. I will define all these operations by counting certain holomorphic disks whose boundaries connect Lagrangian intersection points, and explain how the limit configurations imply "A-infinity" relations among the operations. Then we are ready to define the Fukaya category, modulo technical issues.


Friday
September 20, 2019

11:00 AM - 12:00 AM
Math Tower 5-127
Jin-Cheng Guu, Stony Brook University
Coherent Sheaves

We will explain what coherent sheaves are, some of their cohomological properties, and sketch a proof for a reconstructing theorem: “good” schemes are determined by their derived category of coherent sheaves.


Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars