Donaldson-Thomas theories and modular forms and S-duality conjecture

par Prof. Artan SHESHMANI (MIT)

mardi 12 juil. 2016, 14:30 → 15:30 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

I will start by an introduction to Donaldson Thomas theory and some of the statements about its modularity properties, as well as its connection to S-duality conjecture in superstring theory, made formerly by physicists Gaiotto, Strominger, Yin. I will then provide an algebraic geometric approach to prove this conjecture for DT invariants of sheaves supported on hyperplane sections of the quintic Calabi-Yau threefold.