April 8, 2024 - April 12, 2024
Public Access Category: All |
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- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Date
Monday, April 8, 2024, 4 pm
Venue
Ramanujan Hall
Host
Shripad M. Garge
speaker
Akash Yadav
Affiliation
IIT Bombay
Title
Connected solvable groups-II
Abstract
We prove the structure theorem for connected solvable linear algebraic groups over an algebraically closed field, that any such group G is a semi-direct product of its unipotent radical, [G, G], and any one of the maximal tori of G.
- Time:
- 11:30am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Algebraic geometry seminar
Date
Wednesday, 10 April 11.30 am
Venue
Ramanujan Hall
Host
Sudarshan Gurjar
speaker
Nitin Nitsure
Affiliation
Bhaskaracharya Pratishthana, Pune
Title
Introduction to the Tohoku (1957) paper of Grothendieck-part 1
Abstract
In 1957, Alexander Grothendieck published a long paper in
two parts in the Tohoku Mathematical Journal, Japan,
whose title can be translated as `On some points of homological
algebra'. This paper revolutionized the subject of homological
algebra shed unifying light on topics in diverse areas such as group theory, Lie theory, number theory, algebraic topology, etc. It had profound applications to Algebraic Geometry, which were made apparent by Grothendieck and his school in the next few decades. The ideas of abelian categories and additive functors between them, and their derived functors, come from this paper. The famous `Grothendieck spectral sequence' first appeared here. I will give a series of two talks, introducing the ideas of this paper, and also reporting some subsequent developments.
The first talk will assume no prior knowledge except of the basics of groups, rings and modules at an undergraduate level. In it,
I will explain the historical context, and introduce the themes of the paper in simple terms. The second talk will assume some
acquaintance with Algebraic Geometry.
- Time:
- 4:00pm
- Location:
- Room No 105, Department of Mathematics
- Description:
Algebraic groups Seminar
Date
Friday, 12 April, 4 pm
Venue
Room 105
Host
Dipendra Prasad
speaker
Dibyendu Biswas
Affiliation
IIT Bombay
Title
Regular elements of semi-simple algebraic groups
Abstract
We will continue with the seminar on Algebraic groups by reading the paper of Robert Steinberg, Regular elements of semi-simple algebraic Groups Publications mathématiques de l’I.H.É.S., tome 25 (1965), p. 49-80