|Speaker :||Jackson Van Dyke (University of Texas at Austin)|
|Title :||Projectivity, polarizations, and a higher Weil representation|
|Time :||2023-03-24 (Fri) 11:00 - 13:00|
|Place :||Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)|
The projectivity of the Weil representation, as a representation of the symplectic group, can be used to understand how dependent the whole construction is on the choice of a Lagrangian/polarization. After reviewing this story, I will form an analogy between the Weil representation and a circle of ideas from the theory of fusion categories. The emphasis will be on concrete examples. Then I will present another (more impressionistic) analogy between the fusion setting and the relative Langlands program. I will give some indication as to how we can understand the dependence on a Lagrangian via "higher projectivity". This is crucial in this context, since there are important examples which don't have a polarization.
【Hybrid Talk】Attendees can join us in person or remotely.
【Reminder】Online participants must fill the application form below. A link to the meeting will be distributed on a first-come, first-serve basis, due to device limitations. Click here to register.
(Deadline: 3:00PM, Thursday, Mar. 23)