Formal deformations of higher categories
组织者
演讲者
Pranav Pandit
时间
2024年01月03日 13:30 至 15:30
地点
A3-1-101
线上
Zoom 388 528 9728
(BIMSA)
摘要
After recalling Lurie's axiomatic framework for deformation theory, I will formulate the deformation theory of k-linear ∞-categories within this framework. Following joint work with Blanc and Katzarkov, I will describe the relationship between formal deformations of a category and solutions to the Maurer-Cartan equation in a certain differential-graded Lie algebra associated with the category. Simultaneous deformations of categories and objects in them will play an important role. Finally, I will discuss generalizations of these ideas to deformations of E_n-monoidal categories and applications to topological field theories. This is based on joint work in progress with Bhanu Kiran.