Non-commutative spaces and quantization
Event details
| Date | 07.02.2023 |
| Hour | 17:00 › 18:00 |
| Speaker | Laurent Côté, Harvard University |
| Location | Online |
| Category | Conferences - Seminars |
| Event Language | English |
Seminar in Mathematics
Abstract: Triangulated categories are certain algebraic structures which were first defined in the 1960s independently by Puppe and Verdier. They have the virtue of appearing naturally in many areas of mathematics, including in symplectic geometry, algebraic geometry, and representation theory. The general perspective of non-commutative geometry proposes to view triangulated categories (or better, their homotopy-coherent enhancements) as ''noncommutative spaces". I will discuss some aspects of this perspective, illustrating it by various examples drawn from my own research.
Abstract: Triangulated categories are certain algebraic structures which were first defined in the 1960s independently by Puppe and Verdier. They have the virtue of appearing naturally in many areas of mathematics, including in symplectic geometry, algebraic geometry, and representation theory. The general perspective of non-commutative geometry proposes to view triangulated categories (or better, their homotopy-coherent enhancements) as ''noncommutative spaces". I will discuss some aspects of this perspective, illustrating it by various examples drawn from my own research.
Practical information
- Informed public
- Free
- This event is internal
Organizer
- Institute of Mathematics
Contact
- Prof. Maryna Viazovska, Director