Title: Localisation of Bochner Riesz means on sets of positive Hausdorff
dimension in R^d
Abstract is attached.
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall
Description:
Speaker: Dr. Debanjana Mitra, (Postdoc, Virginia Tech.)
Title: Control theory in partial differential equations,
Abstract:
I shall discuss on control problems governed by the partial differential
equations-mainly compressible Navier-Stokes equations,
visco-elastic flows. I shall mention some of the basic tools applicable to
study the control problems.
We mainly use spectral characterization of the operator associated to the
linearized PDE and Fourier
series techniques to prove controllability and stabilizability results.
I shall also indicate how the hyperbolic and parabolic nature of equations
affects their main controllability results.
Then some of our recent results obtained in this direction will be
discussed.
Time:
5:00pm-6:00pm
Location:
Ramanujan Hall
Description:
Title: Heaps and applications
Speaker: K N Raghavan
Affiliation: The Institute of Mathematical Sciences (IMSc)
Abstract: This talk is based on the recently concluded 19-lecture course by Xavier Viennot at IMSc, and is meant as publicity for the videos
(freely and perpetually accessible) of those lectures on the Matscience Youtube channel. The lectures are jam-packed with new and elegant proofs of well known results, myriad applications--- from graph theory to Lie algebras and their representations to statistical physics and even quantum gravity---and open problems
of varying difficulty. We will take a tour through the basic definition, the main technical results, and some applications.
Time:
3:30pm
Location:
Room 215, Department of Mathematics
Description:
Prof R V Gurjar
Compact Complex Surfaces
Abstract. We will start with some general results about compact complex manifolds of dimension 2 (including non-algebraic ones) like intersection theory, Hodge Index Theorem, Riemann-Roch Theorem...The goal is to outline the classification of minimal smooth projective surfaces, and describe the main properties of surfaces in each class. Due to time constraints almost no proofs will be given.