Wed, November 13, 2019
Public Access Category: All |
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- Time:
- 3:00pm-4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Partial Differential Equations seminar.
Speaker: Arnab Roy.
Affiliation: INRIA, Nancy.
Date and Time: Wednesday 13 November, 3:00 pm - 4:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Stabilization of a rigid body moving in a compressible viscous fluid.
Abstract: In this talk, we discuss the stabilization of a fluid-structure
interaction system of a viscous, compressible fluid and rigid ball in a
three dimension space with an external force acting on the ball produced
by a spring and a damper connecting the centre of the ball to a fixed
point $h_1$. We prove global-in-time existence result for this model under
the condition that the initial velocities are small and the center of mass
of the body is sufficiently near to $h_1$. In this scenario, we discuss
the asymptotic behaviour of the whole system.
- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Algebraic geometry seminar.
Speaker: Chandranandan Gangopadhyay.
Affiliation: The Institute of Mathematical Sciences, Chennai.
Date and Time: Wednesday 13 November, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Quot schemes and Semistable Vector Bundles.
Abstract: Let C be a smooth projective curve over an algebraically closed
field k. Fix r, d ≥ 1. Let Q(r, d)
be the quot scheme parametrizing degree d torsion quotients of the trivial
vector bundle of rank r. Then we show that the universal
kernel bundle over C × Q(r, d) and its pushforward to Q(r, d) are stable
with respect to certain
natural ample bundles over C × Q(r, d) and Q(r, d) respectively.