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Classical Constructions in Geometric Topology
Lecturer

Guillaume Tahar (Assistant Professor)
Date

2024-03-11 ~ 2024-05-28
Schedule
Weekday    Time    Venue    Online    ID    Password
Mon,Tue    11:10-12:55    A1-103    ZOOM    462 110 5973    BIMSA

Prerequisite

Undergraduate topology
Introduction

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.
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
Video Public

Yes
Notes Public

No
Language

English
Lecturer Intro

Guillaume Tahar is a BIMSA assistant professor. Before joining BIMSA he held a senior postdoctoral fellowship in Weizmann Institute of Science. He contributed to the study of moduli spaces of various flavours of geometric structures on surfaces: translation and dilation structures, flat metrics and cone spherical metrics. His recent research interests of include linear differential operators, isoresidual fibrations and simplicial arrangements of lines.
Video

    03-11 03-12 03-18 03-19 03-25 03-26 04-01 04-02 04-08 04-09 04-15 04-16 04-22 04-23 04-29 04-30 05-07 05-13 05-14 05-20 05-21 05-27 05-27 05-28
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FROM 202.120.11.*