Computations in Groups and Algebras (CoGrAl2015)

The aim of the workshop is to shed some light on various aspects of modern finite group theory, with a particular view towards computations. More precisely, we will focus on the following strongly interconnected topics:

(1) Cohomology of finite-dimensional algebras:

This generalises the case of finite group algebras, and next to cohomology rings this also covers the computation of Ext algebras. Moreover, aspects from commutative algebra and from topology come into play here.

(2) Fusion systems

are a conceptual device to relate the structure of p-groups to their embeddings into arbitrary finite groups, where again topological aspects play a role. In view of (1), the cohomology of p-groups, and how it is influenced by their structure, is particularly interesting in itself, and moreover is one of the cornerstones of computing finite group cohomology in general.

(3) Block theory of finite groups:

To understand the structure of module categories deep facts from homology theory are indispensable, yielding tight connections to (1) and complementing the insights acquired there. Moreover, by way of local-global principles, there are intimate connections to (2), leading to mutual influence between these areas.

Invited Speakers

Schedule

The workshop will begin on Monday, 16th February, 2015, early afternoon, and will end on Thursday, 19th February, 2015, around noon.

See schedule for further information.

Location

The workshop is hosted by Friedrich Schiller University Jena, Germany. The talks will be held in Auditorium "Zur Rosen", Johannisstr. 13.
The lecture halls are located in one of the historical, recently nicely renovated, buildings you find throughout the heart of Jena city.

Accommodation

All participants (apart form the invited speakers) are asked to arrange their own hotel reservation. We have made pre-reservations for reduced prices in a number of hotels in Jena. See accommodation for further information. The participants are requested to contact the hotels before 9th January 2015.

Organisation and contact

If you would like to attend the conference, please complete the registration form before 11th January, 2015.

The workshop is organised by Simon King, Jürgen Müller, and Benjamin Sambale.
Please feel free to contact us at any time.

Financial support

The conference is supported by the DFG Priority Program SPP1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory” and the “Daimler Benz Foundation”.

There will be some limited support for younger mathematicians; to apply please just contact us.