Jacobs Main Site









CAS Seminar


Lie Theory Seminar


Dynamics Seminar


Math Support Center


Math Society






Bachelor Program


Visiting Program


Summer School


News Archive


CHE Ranking


Job Openings




Print version

Algebra and Lie Theory Seminar

Mondays at 14:15
Research I, Room 111

The Algebra and Lie Theory Seminar is a graduate research seminar.

This semester we will concentrate on the structure of diagonal Lie algebras and on the Fernando-Kac subalgebras of generalized Harish Chandra modules.

Special Event: Minicourse on Geometry of Grassmannians

Evgeny Smirnov (Universität Bonn), Research I Seminar Room

Monday, March 9, 13:45 Grassmannians. Schubert varieties. Cohomology ring of a Grassmannian. Poincaré duality. Pieri formula. Littlewood-Richardson rule (w/o proof). Applications to enumerative problems.
Tuesday, March 10, 15:15 Singularities of Schubert varieties: Bott-Samelson resolutions. Zelevinsky's small resolutions.
Wednesday, March 11, 17:00 Plücker embedding. Plücker relations. Standard monomials. Plücker relations generate the homogeneous ideal of a Grassmannian. Desription of the singular loci of Schubert varieties.

Special Event: Minicourse on Geometry of Flag Varieties

Valentina Kiritchenko (Jacobs University), Research I Seminar Room

Monday, April 27, 13:45 Varieties of complete flags. Main example: complete flags in a 3-space. Picard group of a flag variety and irreducible representations of semisimple groups. Borel presentation for the cohomology ring of a flag variety.
Monday, May 4, 13:45 Bruhat cell decomposition, Bruhat order, Schubert cycles. Schubert cycles in the Borel presentation, divided difference operators, Schubert polynomials.
Monday, May 11, 13:45 Schubert calculus, Chevalley-Pieri formula for the product of a Schubert cycle with a divisor. Bott-Samelson resolutions of Schubert cycles in a flag variety.


Last updated 2009-04-21, 22:22. © Jacobs University Bremen. All rights reserved.