Seminars in Mathematical Sciences

Jun 11 (Thu)

12:00 MCS2068 G&TZhang Rongkai (Osaka): Rigidity of the Borell-Brascamp-Lieb inequality

Optimal transport theory has been a powerful tool in analysis on geometric spaces with curvature bounded since its introduction into geometric analysis. In this talk, I will first briefly introduce the application of the optimal transport theory on Riemannian manifolds and show an interpolation inequality. I will then focus on the recent work of mine, rigidity on curvature and measure of the Borell-Brascamp-Lieb inequality on weighted Riemannian manifolds satisfying the curvature dimension condition. I will also discuss the Brunn-Minkowski inequality and its rigidity, as well as a few open questions related.

Venue: MCS2068

Jun 15 (Mon)

14:00 CLC202 ASGDon Zagier (MPIM Bonn, ICTP Trieste): Modular forms, mock modular forms, and quantum modular forms

In this series of three talks I want to give an introduction into the wonderful world of modular forms. These are special functions with huge symmetry groups that are all-pervasive in modern mathematics and theoretical physics. It has even been said -- indeed, I may have said it myself -- that "modular forms are everywhere". The first lecture, on the many connections between modular forms and differential equations, is meant for a general audience, including applied mathematicians and mathematical physicists, while the two other talks will introduce more general types of modular objects that have emerged in recent years in contexts ranging from the string theory of black holes to the arithmetic properties of quantum invariants of knots. There will be many examples in all the talks, and no prior knowledge will be assumed.

Venue: CLC202

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• Amplitudes and Correlators

Contact: arthur.lipstein@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Analysis and PDE

Usual Venue: MCS2068

Contact: yohance.a.osborne@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Applied Mathematics

Usual Venue: MCS3070