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!

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)

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