Classical Constructions in Geometric Topology
In this course, we will discuss several classical topics in Geometric Topology: Morse theory, De Rham theory (including the construction of characteristic classes) and Mostow rigidity theorem.
Lecturer
Date
11th March ~ 28th May, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Monday,Tuesday | 11:10 - 12:55 | A1-103 | ZOOM B | 462 110 5973 | BIMSA |
Prerequisite
Undergraduate topology
Syllabus
Part 1: Morse theory (including a proof of Bott periodicity theorem)
Part 2: De Rham theory (including an introduction to characteristic classes, rational homotopy theory and classification results of vector bundles)
Part 3: The various proofs of Mostow rigidity theorem
Part 2: De Rham theory (including an introduction to characteristic classes, rational homotopy theory and classification results of vector bundles)
Part 3: The various proofs of Mostow rigidity theorem
Video Public
Yes
Notes Public
No
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.