DDT: Tuesday, 26th July,  2:00 – 3:30 pm

Venue : Ramanujan Hall, Department of mathematics.
Title: Okounkov-Vershik approach to the representation theory of symmetric
groups.

Abstract: In this series of talks we will bootstrap the representation
theory of symmetric groups inductively, following the 2005 revision of
Vershik's and Okounkov's seminal paper on the topic.

We have now a dedicated website where one can find the notes and resources
from the past meets and announcements of the upcoming meetings:

https://sites.google.com/view/rtag/
 

Title:  p-adic Hodge Theory and Combinatorics.

Speaker: Som Phene, University of Michigan.

Time: Tuesday, 26 July, 4:30 pm.

Venue: ***Ramanujan Hall***

Abstract: We introduce combinatorial geometries and geometric lattices. We show an equivalence between them followed by the correspondence of their finite versions with simple matroids. We then introduce the characteristic polynomial of a matroid, the Mobius algebra of a lattice.  We hope to shed light on the result of log concavity for simple matroids (Huh 2012 for matroids representable in char 0, Huh-Katz 2012 for each representable matroid, Adiprasito-Huh-Katz 2018 for general matroids).