Algebraic Geometry Seminar @ SISSA - Wednesday, 11 December, at 16:30

[ICTP Math Section]

ALGEBRAIC   GEOMETRY   SEMINAR


Venue: SISSA, Boris Dubrovin Lecture room (A-136)


Wednesday 11 December, at 16:30 hrs.


Speaker: Elena Lukzen (SISSA)


Title: Vector bundles, stability and some construction schemes


Abstract: This will be a review talk concerning notions of stability and 
particular descriptions of vector bundles on some classes of algebraic 
varieties.

In particular, we will sketch the main ideas appearing in Stability 
restriction theorem, Narasimhan-Seshadri theorem and try to review the 
accessible descriptions of some vector bundles, i.e. Barth construction 
and Horroks-Mumford bundle (indecomposible rank 2 bundle on a 
$\mathbb{P}^4$).

After that we will focus on some possible descriptions of moduli spaces 
and show how to try to prove stability of vector bundles for some 
particular examples. If time permits, we will probably discuss something 
about the metric.

(http://users.ictp.it/~arincon/AGS.html)

-- 

Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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