[Turkmath:8263] SU General Seminar, Richard Gonzales, 27.03.2012

[Kağan Kurşungöz]

**Sabanci University General Seminar**

*
*

*Speaker:* Richard Gonzales (Galatasaray University)

*Date/Time:* 27 March 2012, Tuesday, 16:00

*Place:* Sabanci University, FENS 2008

*Title:* /Topological and geometric aspects of algebraic monoids/

*Abstract:* Our first encounter with algebraic monoids is via linear 
algebra. The set M(n) of square matrices of size nxn is the most popular 
example of an algebraic monoid. Indeed, we can multiply matrices in M(n) 
and this operation is associative. Moreover, it has a unit , or identity 
matrix, and the subset of M(n) whose elements are invertible matrices 
forms a group: GL(n), the group of nxn-invertible matrices. However, the 
theory of algebraic monoids is much more complex and does not reduce to 
this particular example. In fact, more general and interesting classes 
of algebraic monoids can be obtained from linear representations of 
algebraic groups. Furthermore, algebraic monoids are (affine) cones over 
a very natural class of projective varieties: compactifications of 
algebraic groups. Most of the topology and geometry of these 
compactifications is encoded in a finite graph. In this introductory 
talk, I will provide an overview of the theory of algebraic monoids and 
explain how the topology and geometry of their associated 
projectivizations can be understood via combinatorial objects such as 
root systems, idempotents and finite semigroups.


Tea, coffee and cookies will be served in FENS 2008 from 15:30.


For information on how to reach Sabanci University, please see

http://www.sabanciuniv.edu/eng/?kampus_hayati/hizmet_ve_olanaklar/ulasim.html

-------------- sonraki bölüm --------------
Bir HTML eklentisi temizlendi...
URL: <http://yunus.listweb.bilkent.edu.tr/cgi-bin/mailman/private/turkmath/attachments/20120326/9b57eb5f/attachment.htm>