Analysis seminar
Speaker: Prof. S. Thangavelu
Host: Sanjoy Pusti
Title: On Hardy's inequality for fractional powers of the sublaplacian
Time, day and date: 11:00:00 AM – 12:15:00 PM, Tuesday, October 28
Venue: Ramanujan Hall
Abstract: In these lectures we plan to give an introduction to Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group. We will recall the case of the standard Laplacian on $ \R^n $ and give a proof of Hardy's inequality for $ (-Delta)^s $ using extension problem and trace Hardy inequality. We will then develop necessary background for studying the modified extension problem for the sublaplacian, establish an analogue of trace Hardy inequality and deduce Hardy's inequality.

Student Seminar
Speaker: Samiun Ali Molla, IIT Bombay
Host: Keshav Aggarwal
Title: Bounds for Riemann zeta in the critical strip
Time, day and date: 11:30:00 AM – 12:10:00 PM, Tuesday, October 28
Venue: Room 114

Student Seminar
Speaker: Divye Goyal, IIT Bombay
Host: Keshav Aggarwal
Title: Distribution of zeros of Riemann zeta
Time, day and date: 12:15:00 PM – 12:55:00 PM, Tuesday, October 28
Venue: Room 114

Special Colloquium
Speaker: Uwe Franz, Universite Marie et Louis Pasteur, France
Host: Sutanu Roy
Title: What can Levy processes tell us about compact quantum groups?
Time, day and date: 4:00:00 PM - 5:00:00 PM, Tuesday, October 28
Venue: Ramanujan Hall
Abstract: Schurmann has defined Levy processes on involutive bialgebras, a generalization of the notion of Levy processes with values in groups or semigroups, to the setting of noncommutative stochastic processes. This talk will provide an introduction to these processes. We will then apply this theory to compact quantum groups in the sense of Woronowicz, and discuss how Levy processes can provide geometric information, like a spectral dimension or a notion of connected component of the unit, on these quantum spaces.