March 9, 2020 - March 13, 2020
Public Access Category: All |
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- Time:
- 2:30pm-3:45pm
- Location:
- Room No. 113, Department of Mathematics
- Description:
- Speaker: M. Vanninathan.
Affiliation: IIT Bombay.
Date and Time: Wednesday 11 March, 02:30 pm - 03:45 pm.
Venue: Room 113, Department of Mathematics.
Title: Asymptotic solutions of Hyperbolic PDE V.
Abstract: We discuss several aspects of asymptotic solutions to some
models of Hyperbolic PDE with small wave lengths including their
construction and their justification. Necessary tools to carry out these
tasks will be introduced.
- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium.
Speaker: Swarnendu Sil.
Affiliation: ETH Zurich.
Date and Time: Wednesday 11 March, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Approximation questions in higher dimensional gauge theory.
Abstract: Although Yang-Mills functional and gauge theory originated in physics, its Riemannian or elliptic version has already influenced a vast territory of mathematics as a whole, ranging from real and complex differential geometry and differential topology of vector and principal bundles over manifolds to symplectic geometry and topology and even complex algebraic geometry. Nearly all of these spectacular developments followed our improved understanding of gauge theory over four manifolds. However, very little is known about gauge theory on manifolds of dimension five and higher. In this talk, we shall visit some of the major open questions in higher dimensional gauge theory and their connections to other branches of mathematics. We shall see why in this setting, we are forced to work with certain ‘weak’ notions of principal bundles and connections. Finally, we shall discuss how approximation questions, i.e. understanding when these weak classes of bundles and connections can be approximated by smooth bundles and connections, enters the fray and present a few recent results in this direction.
- Time:
- 11:30am-1:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Nitin Nitsure.
Affiliation: IIT Bombay (visitor).
Date and Time: Thursday 12 March, 11:30 am - 01:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Cotangent Complex.
Abstract: Prof. Nitsure will continue his course of lectures on the
Cotangent Complex.
- Time:
- 11:00am-12:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Arjun Paul.
Affiliation: IIT Bombay.
Date and Time: Friday 13 March, 11:00 am - 12:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Mehta-Ramanathan's restriction theorems and their applications - 2.
Abstract: This will be the second talk in this series.
- Time:
- 12:00pm-1:00pm
- Location:
- Room No 215 Department of Mathematics
- Description:
- Partial Differential Equations seminar.
Speaker: Swarnendu Sil.
Affiliation: ETH Zurich.
Date and Time: Friday 13 March, 12.00 noon - 01.00 pm.
Venue: Room 215, Department of Mathematics.
Title: Approximation of Sobolev bundles
Abstract: In this talk, I shall be focusing on the analytical issues
related to approximation of bundles and connections. I shall give an
overview of the analytical difficulties involved and how one can
circumvent those difficulties.
- Time:
- 2:00pm-3:15pm
- Location:
- Room No. 114, Department of Mathematics
- Description:
- Speaker: M. Vanninathan.
Affiliation: IIT Bombay.
Date and Time: Friday 13 March, 02:00 pm - 03:15 pm.
Venue: Room 114, Department of Mathematics.
Title: Asymptotic solutions of Hyperbolic PDE VI.
Abstract: We discuss several aspects of asymptotic solutions to some
models of Hyperbolic PDE with small wave lengths including their
construction and their justification. Necessary tools to carry out these
tasks will be introduced.
- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar.
Speaker: Dipendra Prasad.
Affiliation: IIT Bombay.
Date and Time: Friday 13 March, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: An Introduction to Bruhat-Tits Trees.
Abstract: This talk will be an introduction to Bruhat-Tits trees and their
applications.