Counting invariants and modularity


Yukinobu Toda

IPMU, visiting MIT .

Northeastern University

Thursday, October 29, 2015


Talk at 4:30 p.m. in 509 Lake Hall

Tea at 4:00 p.m. in 553 Lake Hall


Abstract: In 1994, Vafa-Witten proposed a surprising conjecture that the generating series of invariants counting vector bundles on algebraic surfaces are modular forms. I will survey this conjecture and explain my recent approach toward it from 3-fold geometry.

Here are some directions to Northeastern University. Lake Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street.

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from one of NEU colloquium organizers.

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Posted: February 28, 2015    URL: