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Algebraic Geometry seminar 11.30 am on 28 March 2023 ======================== Venue: Ramanujan Hall Host: Sudarshan Gurjar Speaker: Nitin Nitsure Former Affiliation: TIFR, Mumbai Title: Smooth morphisms
Algebraic groups Seminar Tuesday, 28 March at 4 pm ============================== Venue: 114, Mathematics Department Host: Shripad Garge Speaker: Shripad M. Garge Affiliation: IIT Bombay Title: Linear algebraic groups, basic themes. VI Abstract: We complete the second chapter in Springer's book with a discussion on Tannaka's theorem.
Topology Seminar
Date and time: Thursday 30 March 2023 at 10 AM
Venue: Video call link: https://meet.google.com/faa-xzqt-xyn
Host: Rekha Santhanam
Speaker: Bikramjit Kundu
Affiliation: ISI Bangalore
Title: The index of some Stiefel and flag manifolds
Abstract: In this talk I will do the Fadell-Husseini index calculations for certain
group actions on Stiefel manifolds and flag manifolds. The calculations for the
Stiefel manifold are related to generalizations of the Kakutani’s theorem in geom-
etry. I will also briefly discuss index of flag manifolds of equal dimensional p orthogonal
subspaces on which C_p acts by the cyclic permutation. The result bears geometric consequences about
measures of orthogonal shadows of convex subsets. This is an odd primary ana-
logue of a calculation of Blagozevic et al for the Grassmannian.
Commutative algebra seminar 4 pm on Thursday, 30 March, 2023 ========================= Venue: Ramanujan Hall Host: Tony Puthenpurakal Speaker: Manoj Keshari Affiliation: IIT Bombay Title: On complete intersection ideals Abstract: I will give a survey on the problem of complete intersection ideals in a polynomial ring
Geometric Group Theory (GGT) Seminar
12.30 pm on 31 March 2023
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Venue: Room 114
Host: Rekha Santhanam
Speaker: Soumyadeb Samanta
Affiliation: IIT Bombay
Title: Quasi-isometries
Abstract: In this talk, I will give an introduction to quasi-isometries on metric spaces and groups, and discuss some basic results concerning them. Then we will see the statement and proof of the celebrated Milnor-Schwarz lemma.
CCAAG Seminar 4 pm on Friday, 31 March 2023 ======================== Venue: Ramanujan Hall Host: Madhusudan Manjunath Speaker: Madhusudan Manjunath Affiliation: IIT Bombay Title: Unimodality and Log concavity in Algebra, Geometry, and Combinatorics Abstract: We will review the relevant tools from Hodge's theory.
Virtual commutative algebra seminar
6.30 pm on Friday, 31 March 2023
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Venue: meet.google.com/rhf-jzen-fyf
Host: J. K. Verma
Speaker: Alexandra Seceleanu
Affiliation: University of Nebraska-Lincoln
Title: Principal symmetric ideals
Abstract: Consider a homogeneous polynomial f in variables x_1,...,x_n. The set of polynomials obtained from f by permuting the variables in all possible ways generates an ideal, which we call a principal symmetric ideal. What can we say about the Betti numbers of a principal symmetric ideal? I will give a general answer in this talk. This is joint work with Megumi Harada and Liana Sega.