Seventy-seventh BLOC meeting


Bristol Leicester Oxford Colloquium

The 77th BLOC meeting will be held on Tuesday 6th June 2017 in the Department of Mathematics, University of Leicester. The talks will take place in the Michael Atiyah Building, MA 119.



Lunch: First floor, Charles Wilson Building (meet at front of College House at 12.20pm)

14.00 - 15.00 Ed Green (Virginia Tech, VA, USA) Algebras, modules, and varieties


15.45 - 16.45 Susanne Pumpluen (Nottingham) Nonassociative algebras obtained from skew polynomial rings and their applications

Please let Nicole Snashall know by May 31st if you are coming to the BLOC meeting, and in particular if you wish to join us for lunch.


Ed Green: I will introduce affine algebraic varieties whose points are in one-to-one correspondence with certain algebras. For each such variety there is a distinguished monomial algebra, some of whose properties determine properties of the other algebras in the variety. For example, if the monomial algebra is finite dimensional of finite global dimension, then every algebra in the variety is finite dimensional of finite global dimension.
I will also describe an analogous construction of a constructible set whose points correspond to certain modules over a fixed algebra. These modules share a number of features  in common. The results represent joint work with Lutz Hille and Sibylle Schroll, Eduardo Marcos and S. Schroll, and with S. Schroll.

Susanne Pumpluen: Starting from a skew polynomial ring, we define a class of unital nonassociative algebras introduced by Petit in 1966, but still basically unknown. These algebras are canonical generalizations of associative central simple algebras. Classical results from Amitsur, Albert and Jacobson on central simple algebras can thus be generalized to a nonassociative setting. Our algebras can be used for instance in space-time block coding, to build linear skew-cyclic codes, or in lattice constructions generalizing Construction A.



BLOC is supported by an LMS Scheme 3 grant, which is used to help offset travel costs for participants, with priority given to covering travel and accommodation costs for speakers and postgraduates.

Travel information is HERE.

There will be time for informal discussions during the meeting.

For further information please contact one of the organisers:

Joe Chuang
Karin Erdmann
Jeremy Rickard
Nicole Snashall

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University of Leicester
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Tel.: +44 (0)116 229 7407

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