Speaker: Aniruddha Samanta
Title/Abstract: Attached
Date/time: Tuesday, February 1 2022, 3 pm - 4 pm
Google meet link: To join the video meeting, click this link:
https://meet.google.com/qty-joci-rdh
Otherwise, to join by phone, dial +1 929-251-5508 and enter this
PIN: 364 520 942#
Time:
11:30am
Description:
Speaker: Rakesh Jana: Indian Institute of Technology Guwahati
Title/Abstract: Attached
Date/time: Wednesday, February 2 2022, 11.30 am - 12.30 pm
Google meet link: To join the video meeting, click this link:
https://meet.google.com/qty-joci-rdh
Otherwise, to join by phone, dial +1 929-251-5508 and enter this
PIN: 364 520 942#
Time:
2:30pm-3:30pm
Description:
Reading Seminar
Thursday, 3 February · 2:30 – 3:30 pm
Google Meet joining info
Video call link: https://meet.google.com/auv-mwkn-ixh
The first speaker is Sarjick Bakshi. He will give two/three talks on the
following topics.
Title: Modular representations of Algebraic groups,
Abstract:
We will discuss a few important and classical theorems in the
representation theory of reductive algebraic groups like the
Borel-Weil-Bott theorem, Kempf's vanishing theorem. The main reference
would be Jantzen's book ``Representation theory of Algebraic Groups'' and a
note by Andersen ``Modular representation of Algebraic groups and Relations
to Quantum groups''.
Speaker: Luc Hillairet (Institut Denis Poisson, University of Orleans,France)
Time: 3 February 2022, Thursday, 6 pm
Title: Variations on Concentration
Abstract: Studying the concentration of eigenfunctions of Schrodinger or
Laplace-type operators is a well known problem of semiclassical analysis.
Useful tools for the latter include semiclassical measures, WKB expansion.
After recalling some classical results of this theory we will focus on
less classical ones that are related to the study of analytic
eigenbranches or eigenvalue spacing problems. Based on joint work with C.
Judge and J. Marzuola.
Speaker: *Adam Van Tuyl, McMaster University, Canada*Date/Time: *4* February 2022*,
6:30pm IST/ 1:00pm GMT / 8:00am ET *(joining time 6:15pm IST)
Gmeet link: meet.google.com/vcc-aywh-xgx
Title: Toric ideals of graphs and some of their homological invariants
Abstract: The study of toric ideals of graphs lies in the intersection of
commutative algebra, algebraic geometry, and combinatorics. Formally, if $G
= (V,E)$ is a finite simple graph with edge set $E =\{e_1,\ldots,e_s\}$ and
vertex set $V = \{x_1,\ldots,x_n\},$ then the toric ideal of $G$ is the
kernel of the ring homomorphism $\varphi:k[e_1,\ldots,e_s] \rightarrow
k[x_1,\ldots,x_n]$ where $\varphi(e_i) = x_jx_k$ if the edge $e_i =
\{x_j,x_k\}$. Ideally, one would like to understand how the homological
invariants (e.g. graded Betti numbers) of $I_G$ are related to the graph
$G$. In this talk I will survey some results connected to this theme, with
an emphasis on the Castelnuovo-Mumford regularity of these ideals.
For more information and links to previous seminars, visit the website
of VCAS: https://sites.google.com/view/virtual-comm-algebra-seminar