March 11, 2024 - March 15, 2024
Public Access Category: All |
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
|
- Time:
- 11:30am
- Location:
- Room 215, Mathematics Department
- Description:
Algebraic Geometry Seminar
Date
Tuesday, 12 March, 11.30 am
Venue
Room 215
Host
Sudarshan Gurjar
speaker
Nitin Nitsure
Affiliation
Bhaskaracharya Pratishthana
Title
Galois descent, twisted forms, and Galois cohomology.
Abstract
We will first briefly recall faithfully flat descent (which was done in detail in the previous talk), and the geometry of finite Galois covers and their fiber powers (which was done in detail earlier). Then we will translate faithfully flat descent into Galois covering terms, to arrive at a formulation of descent and effective descent purely in terms of Galois groups and their actions. We will then show how to parameterize twisted forms of various structures via the first Galois cohomology. We will illustrate everything with examples from algebra and algebraic geometry. Finally, we will address the question of effective Galois descent for schemes.
- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Algebraic groups seminar
Date
Tuesday, 12 March, 4 pm
Venue
Ramanujan Hall
Host
Shripad Garge
speaker
Akash Yadav
Affiliation
IIT Bombay
Title
Complete varieties I
Abstract
We introduce the notion of complete varieties to study parabolic subgroups of linear algebraic groups.
- Time:
- 4:00pm-5:00pm
- Location:
- Room 215, Mathematics Department
- Description:
Commutative Algebra Seminar
Date
Tuesday, 12 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-II
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 pdim(M)=pdim(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 three-generated ideal of R.
- Time:
- 11:30am-12:30pm
- Description:
Topology and Related Topics Seminar
Date
Friday, 15 March 2024, 11:30-12:30 pm
Venue
Room 215
Host
Rekha Santhanam
speaker
Sahin Mandal
Affiliation
IIT Bombay
Title
Quillen Q-construction-II
- Time:
- 2:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Algebraic Groups Seminar
Friday, 15 March, 2024, 2.30 pm
====================
Venue: Ramanujan Hall
Speaker: Sulakhana Chowdhury
Affiliation: IISER Thiruvananthapuram
Host: Shripad M. GargeTitle: Permutation modules of the walled Brauer algebras
Abstract: In this talk, we will discuss the permutation modules and Young modules of the group algebras of the direct product of symmetric groups and the walled Brauer algebras. In the category of dual Specht-filtered modules, if the characteristic of the field is neither 2 nor 3, then the permutation modules are dual Specht-filtered, and the Young modules are relative projective cover of the dual Specht modules. We prove that the restrictions of the cell modules of the walled Brauer algebras to the group algebras of the direct product of the symmetric groups are dual Specht filtered, and the Young modules act as the relative projective cover of the cell modules of the walled Brauer algebras. Finally, we prove that if char K differs from 2 and 3, the permutation modules can be written as a direct sum of indecomposable Young modules.
- Time:
- 4:00pm-5:30pm
- Location:
- Room No 105, Department of Mathematics
- Description:
Algebraic groups seminar
Date
Friday, 15 March, 4 pm-5.30 pm
Venue
Room 105
Host
Dipendra Prasad
speaker
Mohammad Saad
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
- Time:
- 5:00pm-6:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description: