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Topology and Related Topics Seminar |
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Date |
Tuesday, 5 March 2024, 11:30-12:30 pm |
Venue |
Room 215 |
Host |
Rekha Santhanam |
speaker |
Sahin Mandal |
Affiliation |
IIT Bombay |
Title |
Quillen Q-construction |
Abstract |
In the second talk, we will define higher algebraic k theory using Quillen’s Q construction. |
Commutative Algebra Seminar |
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Date |
Tuesday, 05 Mar, 4 pm—5 pm |
Venue |
Room 215 |
Host |
Tony J. Puthenpurakal |
speaker |
Omkar Javadekar |
Affiliation |
IIT Bombay |
Title |
A theorem of Bruns on free resolutions of ideals generated by three elements |
Abstract |
Let R be a commutative Noetherian ring. In 1972, P. Cohn proved that for every finitely generated R-module M, there exists a three-generated ideal I of R such that pd(M)=pd(R/I). In this series of two talks, we will see a generalization of Cohn's result due to W. Bruns. We will show that "every" finite free resolution over R is a free resolution of a 3-generated ideal of R. |
Algebraic Groups Seminar |
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Date |
Tuesday, March 5, 2024, 4 pm |
Venue |
Ramanujan Hall |
Host |
Shripad M. Garge |
speakers |
Shripad M. Garge |
Affiliation |
IIT Bombay, Mumbai |
Title |
Semi-simple automorphisms |
Abstract |
We study some inner automorphisms of algebraic groups. |
Mathematics colloquium
https://www.math.iitb.ac.in/NewsEvents/IIT_Bombay_Talk_Grothendieck_Leila_Schneps_Pierre_Lochak.pdfColloquim about Grothendieck's life and works
Date Wednesday, March 6th, 4 pm-6 pm
Venue Room number 23, VMCC
Host Dipendra Prasad
speakers Leila Schneps and Pierre Lochak
Affiliation Institut de Mathématiques de Jussieu, Paris
Title Alexander Grothendieck: his life, his mathematics, and his writings.
Abstract
Alexander Grothendieck was arguably the most original, influential, and the most prolific mathematician of the 20th century. After retiring from active mathematics in his early 40's, he contributed to several newer fundamental insights. This lecture will reflect on some of the enigmas around him, before and after “retirement".
PDE and analysis seminar |
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Date |
Thursday, March 7, 4 pm - 5 pm |
Venue |
Ramanujan Hall |
Host |
Chandan Biswas |
speaker |
Dhriti Ranjan Dolai |
Affiliation |
IIT Dharwad |
Title |
The central limit theorem (CLT) for integrated density of states (IDS) of discrete random Schrodinger operator (Anderson model on lattice) |
Abstract |
First, we will define the random Schrodinger operator on the Hilbert space of square summable functions on the d-dimensional integer lattice, and discuss its spectral properties. Also, we will talk about the integrated density of states (IDS). Now, we will consider the existence of the integrated density of states (IDS) as analogous to the law of large numbers (LLN). Then, we will prove the analogous central limit theorem (CLT) when test functions are either polynomials or first-order differentiable with polynomial growth. |
Algebraic Groups seminar |
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Date |
Thursday, 7 March, 5.15-6.45 |
Venue |
Room 215 |
Host |
Dipendra Prasad |
speakers |
Dibyendu Biswas |
Affiliation |
IIT Bombay |
Title |
Regular elements of semi-simple algebraic groups |
Abstract |
We will discuss a variety of topics in Algebraic groups through reading some of the papers that have become classics in the subject. The first few seminars will be on the paper by Robert Steinberg, Regular elements of semi-simple algebraic groups Publications mathématiques de l’I.H.É.S., tome 25 (1965), p. 49-80 |