Quantum Representations and Bogomolov-Katzarkov Surfaces

Explore a lecture on quantum representations and their application to Bogomolov-Katzarkov surfaces in relation to the Shafarevich conjecture on holomorphic convexity. Delve into the results presented by Eyssidieux-Funar in their arXiv paper 2112.06726, focusing on how quantum representations of fundamental groups of Riemann surfaces are used to demonstrate that most algebraic surfaces proposed by Bogomolov and Katzarkov in the late 1990s do not serve as counterexamples to this conjecture. Gain insights into this advanced mathematical topic as presented by speaker Rodolfo Aguilar from the University of Miami and IMSA.