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Universität Augsburg
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Universität Augsburg
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Professor Dr. Anton Fonarev
Steklov Mathematical Institute, Moscow
spricht am
Donnerstag, 6. Februar 2020
um
10:00 Uhr
im
Raum 1007 (L1)
über das Thema:
| Abstract: |
| It is well known that every vector bundle on the projective space P^n admits a resolution by vector bundles which are direct sums of the line bundles O(i). A celebrated theorem of Beilinson implies that one can do better: every vector bundle can be fully described in terms of the line bundles O, O(1), …, O(n). More precisely, he showed that the latter form a so called full exceptional collection in the derived category of P^n. Later Kapranov found a similar collection of vector bundles on Grassmannians. A long standing conjecture states that one construct such a collection on any rational homogeneous variety; in particular, on orthogonal and isotropic Grassmannians. We will discuss the mentioned results and show how to prove this conjecture for Lagrangian Grassmannians. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Maxim Smirnov |