July 25, 2022 - July 29, 2022
Public Access Category: All |
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- Time:
- 2:00pm-3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
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/
- Time:
- 4:30pm-6:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
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).
- Time:
- 10:30am-11:30am
- Location:
- Video call link: https://meet.google.com/mkf-auok-inr
- Description:
Speaker: Shankar TR
Title: Commuting isometries and contractions
Abstract: In this talk, I will discuss defect operators associated with
pure pairs of commuting isometries and related results. I will demonstrate
how defect operators can be used to characterize certain submodules of the
Hardy space over the bi-disc. Finally, I will present some example of
quotient modules of the Hardy space over the poly-disc where bounded
lifting holds.
Date and Time: Wednesday, July 27· 10:30am – 11:30 am
Google Meet joining info
Video call link: https://meet.google.com/mkf-auok-inr
- Time:
- 4:30pm
- Location:
- Room No 215, Department of Mathematics
- Description:
Title: p-adic Hodge Theory and Combinatorics-II Speaker: Som Phene, University of Michigan. Time: Tuesday, 28 July, 4:30 pm. Venue: Room 215 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).
- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Speaker: Shaunak Deo, IISc Bangalore Time & Date: 4 pm, Friday, 29 July 2022 Venue: Ramanujan Hall Title: The Eisenstein ideal of weight $k$ and ranks of Hecke algebras Abstract: Let $p$ and $\ell$ be primes such that $p > 3$ and $p \mid \ell-1$ and $k$ be an even integer. Using deformation theory of Galois representations, we will give a necessary and sufficient condition for the $Z_p$-rank of the completion of the Hecke algebra acting on the space of cuspidal modular forms of weight $k$ and level $\Gamma_0(\ell)$ at the maximal Eisenstein ideal containing $p$ to be greater than $1$ in terms of vanishing of the cup products of certain global Galois cohomology classes.