Jérôme Scherer

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EPFL SV BMI UPHESS
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Administrative data

Teaching & PhD

Teaching

Mathematics

PhD Students

Constantin Virgile Simon, Lavenir Samuel Pierre,

Past EPFL PhD Students

Moser Lyne , Werndli Kay Remo ,

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.