Fri, August 30, 2019
Public Access

Category: All

August 2019
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2:00pm [2:30pm] Guhan Venkat : Universite Laval, Quebec, Canada
Number theory seminar. Speaker: Guhan Venkat. Affiliation: Universite Laval, Quebec, Canada. Date and Time: Friday 30 August, 2:30 pm - 3:30 pm. Venue: Ramanujan Hall, Department of Mathematics. Title: Stark-Heegner cycles for Bianchi modular forms. Abstract: In his seminal paper in 2001, Henri Darmon proposed a systematic construction of p-adic points on elliptic curves over the rational numbers, viz. Stark–Heegner points. In this talk, I will report on the construction of p-adic cohomology classes/cycles in the Harris–Soudry–Taylor representation associated to a Bianchi cusp form, building on the ideas of Henri Darmon and Rotger–Seveso. These local cohomology classes are conjectured to be the restriction of global cohomology classes in an appropriate Bloch–Kato Selmer group and have consequences towards the Bloch–Kato–Beilinson conjecture as well as Gross–Zagier type results. This is based on a joint work with Chris Williams (Imperial College London).

4:00pm [4:30pm] Madhusudan Manjunath
CACAAG seminar. Speaker: Madhusudan Manjunath. Affiliation: IIT Bombay. Date and Time: Friday 30 August, 4:30 pm - 5:30 pm. Venue: Ramanujan Hall, Department of Mathematics. Title: An Introduction to the Geometry of Numbers. Abstract: We give a gentle introduction to the geometry of numbers. We start with the classical theory and then treat some of the modern aspects of this subject. This talk will be accessible to the general audience.