| Time | Speaker | Title | Resources | |
|---|---|---|---|---|
| 09:30 to 10:30 | Andrei Rapinchuk (University of Virginia at Charlottesville, USA) |
Prasad's work on the congruence subgroup problem After presenting some generalities on the congruence subgroup problem, I will focus on Prasad's work that completely resolved the problem of computation of the metaplectic kernel and also established centrality of the congruence kernel in many situations. Along the way, I will also explain Prasad's contributions to the investigation of strong approximation and the Kneser-Tits conjecture. |
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| 10:45 to 11:45 | Tasho Kaletha (University of Michigan, USA) |
Representations of p-adic reductive groups I will review Gopal Prasad's fundamental contributions to the representation theory of p-adic reductive groups and discuss recent applications of these results towards the classi cation of supercuspidal representations and the Harish-Chandra Lefschetz principle. |
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| 12:00 to 13:00 | Brian Conrad (Stanford University, USA) |
Pseudo-reductive groups I will discuss aspects of the theory of pseudo-reductive groups, developed jointly with Ofer Gabber and Gopal Prasad, and highlight some parts of the story where Gopal's insights and experience were crucial for overcoming daunting obstacles. |
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| 13:00 to 14:30 | Break | Break | ||
| 14:30 to 15:30 | Mikhail Belolipetsky (IMPA, Brazil) |
Prasad's volume formula and its applications The volume formula of Gopal Prasad has far reaching applications in geometry of locally symmetric spaces. I will give a brief introduction to the volume formula and then discuss its applications to the minimal volume problem for arithmetic hyperbolic manifolds and to the study of growth of lattices in semi-simple Lie groups. |
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| 15:45 to 16:45 | JongHae Keum (KIAS South Korea) |
Fake projective planes Fake projective planes are smooth algebraic surfaces with the same Betti numbers as the complex projective plane, which are not isomorphic to it. I will report recent progress on fake projective planes. I will focuss on Gopal Prasad's work, along with Cartwright and Steger's enumeration, which completed the classification of their fundamental groups. I will also talk about other aspects of progress, such as explicit equations of some fake projective planes. |
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| 17:00 to 18:00 | Alan Reid (Rice University USA) |
Spectra in locally symmetric spaces The eigenvalue spectrum of the laplacian and the length spectrum of Riemannian manifolds have been long studied and in the setting of arithmetic locally symmetric spaces, allow for deep connections between number theory, geometry and analysis. In this lecture we discuss some of these connections and in particular describes some of Prasad (and Rapinchuk's) profound contributions to problems in this area, as well as generalizations. Useful links : http://www.numdam.org/article/PMIHES_2009__109__113_0.pdf https://arxiv.org/pdf/0809.2401.pdf |
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| 18:00 to 18:01 | Gopal Prasad (University of Michigan, USA) | Message from Gopal Prasad |