Fri, March 6, 2020
Public Access Category: All |
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- Time:
- 11:00am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Algebraic geometry seminar.
Speaker: Arjun Paul.
Affiliation: IIT Bombay.
Date and Time: Friday 06 March, 11:00 am - 12:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Mehta-Ramanathan's restriction theorems and their applications.
Abstract: Fundamental groups of algebraic varieties and their
representations are very interesting objects, and have given rise to a lot
of mathematics. The famous Narasimhan-Seshadri Theorem states that on a
compact Riemann surface there is a bijective correspondence between stable
holomorphic vector bundles with vanishing Chern classes and unitary
representations of the topological fundamental group. This result was
generalized to smooth projective surfaces by Donaldson. The Stable
Restriction Theorem of Mehta-Ramanathan then enables us to generalize this
correspondence, between stable holomorphic vector bundles with vanishing
Chern classes and unitary representations of the fundamental group, to
arbitrary smooth projective varieties. This consequence is the main
application we have in mind. We will also give an overview of the proof of
the Stable and Semi-stable Restriction theorems.
- Time:
- 2:15pm-3:15pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Seminar II.
Speaker: Harsha Hutridurga.
Affiliation: IIT Bombay.
Date and Time: Friday 06 March, 02:15 pm - 03:15 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Perturbative analysis in linear elasticity.
Abstract: In this talk, we aim to answer the following question: How does
the traction-to-displacement map change with respect to small volume
perturbation of elasticity parameters in a given medium. using some
elementary tools and building upon an idea of Friedman and Vogelius, we
demonstrate that the boundary measurements deviate only a little as long
as the defects are of small volume and more importantly, irrespective of
the elasticity properties of the defect.
- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar.
Speaker: Poornima.
Affiliation: IIT Bombay.
Date and Time: Friday 06 March, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Elliptic Curves over the complex numbers and their uniformization.
Abstract: This talk will be a gentle introduction to elliptic curves. We
start with the algebraic definition of elliptic curves and then explain
uniformization of complex elliptic curves, i.e. realise each of them as a
quotient of the complex number by a lattice.