Calendar
Wednesday, October 2, 2024
Time  Items 

All day 

3pm 

4pm 
10/02/2024  4:00pm For a punctured surface S and a split reductive algebraic group G such as SL_n or PGL_n, Fock and Goncharov (and Shen) consider two types of moduli spaces parametrizing Glocal systems on S together with certain data at punctures. They show that these spaces have special coordinate charts, hence are birational to cluster varieties. Fock and Goncharov’s duality conjectures predict the existence of a canonical basis of the algebra of regular functions on one of these spaces, enumerated by the tropical integer points of the other space. I will give an introductory overview of this topic, briefly explain recent developments involving quantum topology and mirror symmetry of log CalabiYau varieties, and present some open problems if time allows. Location:
KT 205
10/02/2024  4:30pm This is a 30min slowpace preseminar discussion aiming to familiarise graduate students and postdocs with basic ideas used in Thursday Analysis Seminar talk and next Wednesday Colloquium (in Analysis). The focus will be put on ideas, and technicalities are kept to a minimum. Topics include: heat kernel, hyperbolic surfaces, Gauss–Bonnet formula. Location:
KT 801
