Jérôme Scherer

Web site:  Web site:  https://sma.epfl.ch/

EPFL SV BMI UPHESS
MA B3 455 (Bâtiment MA)
Station 8
1015 Lausanne

Web site:  Web site:  https://hessbellwald-lab.epfl.ch

Web site:  Web site:  https://math.epfl.ch/

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Administrative data

Teaching & PhD

Teaching

Mathematics

Courses

Topology

We study the topological notions of union and quotients of spaces; we discuss covering spaces and fundamental groups further, The notion of cell attachement is introduced and the Seifert-van Kampen Theorem is proven. Examples of surfaces illustrate the techniques.

Topology IV.b - cohomology rings

Singular cohomology is defined by dualizing the singular chain complex for spaces. We will study its basic properties, see how it acquires a multiplicative structure and becomes a graded commutative algebra. We study an algebraic version, namely group cohomology, and compare both approaches.