Morse Theory
In this course, we introduce Morse theory and discuss several applications: Bott periodicity theorem, equivariant localization and Picard-Lefschetz theory.
Lecturer
Date
19th February ~ 29th May, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Wednesday,Thursday | 10:40 - 12:15 | A3-1-103 | Zoom 16 | 468 248 1222 | BIMSA |
Syllabus
Part 1: Introduction to Morse Theory
Part 2: Bott periodicity theorem
Part 3: Applications in Symplectic Geometry
Part 4: Elements of Picard-Lefschetz theory
Part 2: Bott periodicity theorem
Part 3: Applications in Symplectic Geometry
Part 4: Elements of Picard-Lefschetz theory
Audience
Advanced Undergraduate
, Graduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
Guillaume Tahar obtained his Ph.D from Université Paris Diderot, under the supervision of Anton Zorich. He was a senior postdoctoral fellow in Weizmann Institute of Science and joined BIMSA as an assistant professor in 2022. He contributed to the study of moduli spaces of various flavours of geometric structures on surfaces. His results include proving the existence of closed geodesics in dilation surfaces and the complete characterization of configurations of local invariants realized by a differential on a Riemann surface. His recent research interests include linear differential operators, simplicial arrangements of lines and quantum invariants of knots.