Block seminar on Cohomology Theory (second semester 2012/2013)

This is a block seminar on some aspects of (singular) cohomology theory offered by Moritz Groth. The seminar consists of twelve talks to be given by students. We meet on three days in the last week of June and each day there will be four talks.

Time: MWF in the week June 24 to June 28, 11.00-12.00, 13:30-14:30, 14:45-15:45, 16:00-17.00
Place: room HG000.023 or room HG00.633, see the individual talk
Prerequisites: Basic singular (co)homology theory (see, for example, the courses on singular homology and singular cohomology).

The purpose of this seminar is to cover a few subjects in (singular) cohomology which could not be treated in the course. The aim is to provide the students with a broader scope on the subject and to stimulate further reading. Of course, everybody interested in the subjects is invited to join!

Talks to be given by students:
  Talk 01:   Classification of surfaces and their cohomology (Koen van Woerden, HG00.633)
  Talk 02:   Bockstein homomorphisms and applications to lens spaces (Freek Witteveen, HG00.633)
  Talk 03:   Hopf invariant (Jan-Willem Tel, HG00.633)
  Talk 04:   Hurewicz theorem and some applications (Sybren Boland, HG00.633)
  Talk 05:   Acyclic models theorem (Margo Ermens, HG000.023)
  Talk 06:   Eilenberg-Steenrod axioms and the uniqueness result (Joshua Moerman, HG000.023)
  Talk 07:   Brown representability theorem (Alexander Tonkelaar, HG000.023)
  Talk 08:   Infinite symmetric products (Nils Havik, HG000.023)
  Talk 09:   Homology with local coefficients (Andrea Barbon, HG000.023)
  Talk 10:   Orientations and Poincaré duality I (Kirsten Wang, HG00.633)
  Talk 11:   Orientations and Poincaré duality II (Joost Nuiten, HG00.633)
  Talk 12:   Introduction to the Serre spectral sequence (Sjoerd Beentjes, HG00.633)

References: There are many references for the above topics including:
  Aguilar, Gitler, Prieto;  Algebraic Topology from a Homotopical Viewpoint
  McCleary;  A User's Guide to Spectral Sequences
  Davis, Kirk;  Lecture notes in algebraic topology
  Dold;  Lectures on algebraic topology
  Eilenberg, Steenrod;  Foundations of algebraic topology
  Hatcher;  Algebraic Topology
  Massey;  Algebraic Topology: An Introduction
  Spanier;  Algebraic Topology
  Switzer;  Algebraic Topology: Homotopy and Homology

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