AbstractIt is well-known since the work of Hopf, Drinfel’d, Majid, Witten, and etc. in the late 20th century that Hopf algebra quantum groups play a signification role in both physics and mathematics. In particular, the category of representations of quantum groups are braided, and hence captures invariants of knots. This talk is based on works with F. Girelli, where we develop a systematic ca...
Abstract：I shall discuss my recent work showing that the Bogomolov-Tschinkel universality conjecture holds if and only if the mapping class groups of a punctured surface is large (which is essentially the negation of the Ivanov conjecture about the mapping class groups). I will also discuss my recent work with O. Tosic regarding the closely related Putman-Wieland conjecture.Prizes and Distinct...
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