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ONLINE: A glimpse on 3d modularity

Posted in
Francesca Ferrari
Die, 28/07/2020 - 14:00 - 15:00

Since the 1980s, the study of invariants of 3-dimensional manifolds has benefited from the connections between topology, physics and number theory. Recently, a new 3-manifold invariant has been discovered: this is known as the homological block. In this talk, I will describe the appearance of quantum modular forms, false theta functions and I will explain how to predict certain topological data of 3-manifolds via the quantum modular properties of the associated
homological blocks. The talk will be based on the article 1809.10148 and work in progress with Cheng, Chun, Feigin, Gukov, and Harrison.

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