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Universität Augsburg
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Universität Augsburg
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Professor Dr. Augustin-Liviu Mare
University of Regina, Kanada
spricht am
Montag, 2. Juni 2014
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| I will talk about the quantum cohomology ring of full affine Kac-Moody flag manifolds, which are the affine analogues of regular coadjoint orbits of compact Lie groups. Such rings have been investigated in papers by Guest and Otofuji (2001) and by myself (2004). However, the rigorous foundations are still to be established. The main focus of the talk will be on results that Leonardo Mihalcea and myself have obtained recently in this context. First, we proved a quantum Chevalley formula, which describes the quantum multiplication by degree-two classes. Even though these classes do not generate the entire cohomology ring, our formula can be used to define a new (associative) ring, whose ideal of relations is determined by the integrals of motion of a certain integrable system of Toda lattice type. |
| Hierzu ergeht herzliche Einladung. |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).