March 25, 2024 - March 29, 2024
Public Access Category: All |
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- Time:
- 11:30am
- Description:
Algebraic geometry seminar
Date
Tuesday, 26 March, 11.30 am
Venue
Room 215
Host
Sudarshan Gurjar
speaker
Nitin Nitsure
Affiliation
Bhaskaracharya Pratishthana
Title
Galois descent and Galois cohomology: examples and calculations.
Abstract
We will begin by recalling the calculus of Galois descent, and its translation into Galois cohomology classes for twisted forms. After that, we will look at common examples, involving Galois twisted forms of algebraic groups, Brauer Severi varieties, and vector bundles (Hilbert 90). The final example will be the Galois twisted from over reals of a non-separated affine line with doubled origin. This twisted form is an algebraic space which is not a scheme.
- Time:
- 2:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Topology and Related Topics Seminar
Date
Tuesday 26 March, 2:30 pm
Venue
Ramanujan Hall
Host
Rekha Santhanam
speaker
Sudarshan Gurjar
Affiliation
IIT Bombay
Title
Vector bundles and Characteristic Classes
Abstract
This is the second talk in the series of three talks. We will give an introduction to the characteristic classes of a vector bundle. Characteristic classes are invariants of a vector bundle taking values in the singular cohomology of the base and satisfying the obvious functoriality property with respect to pullback. They are the measure of the non-triviality of the vector bundle.
The background assumed will depend on the audience present.
- Time:
- 4:00pm-5:00pm
- Location:
- Room No. 215, Department of Mathematics
- Description:
Commutative Algebra Seminar
Date
Tuesday, 26 March 2024, 4-5 pm
Venue
Room 215
Host
Tony J. Puthenpurakal
speaker
R. V. Gurjar
Affiliation
IIT Bombay
Title
Some more results about Brieskorn-Pham singularities-II
We will discuss the following results. (1) Classification of 3-dimensional factorial B-P singularities by U.Storch. (2) Classification of affine B-P 3-folds which admit a non-trivial action of the additive group G_a (equivalently, a non-zero locally nilpotent derivation on their coordinate ring) by M. Chitayat. (3) Classification of affine B-P 3-folds which are rational (i.e. their function field is a purely transcendental extension of the ground field) by M Chitayat.
- Time:
- 11:00am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Algebraic Groups Seminar
Date
Thursday, March 28, 11 am
Venue
Ramanujan Hall
Host
Shripad M. Garge
speaker
Akash Yadav
Affiliation
IIT Bombay
Title
Borel subgroups
Abstract
We prove Borel's fixed theorem and introduce Borel subgroups.
- Time:
- 4:00pm-5:30pm
- Location:
- Room No. 105, Department of Mathematics
- Description:
Algebraic groups seminar
Date
Thursday, 28 March, 4 pm-5.30 pm
Venue
Room 105
Host
Dipendra Prasad
speaker
Deep Makadiya
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