[CvGmt News] [Notiziario] [Settimanale] annuncio di corso

Paolo Lisca lisca at dm.unipi.it
Fri Jun 18 22:22:07 CEST 2004

Il Prof. Tom Mrowka (M.I.T.), ospite del dipartimento di
matematica "L. Tonelli" dal 15 giugno al 15 luglio 2004,
terra` un corso di dottorato intitolato:

"Floer homology for Seiberg-Witten monopoles"

Abstract: This course will cover the construction of various
versions of Floer homology for Seiberg-Witten monopoles.
We will begin with a discussion of finite dimensional
Morse theory focusing on the how the usual construction
needs to be modified to deal with a function
invariant under circle action. Then we will discuss
the monopole equations on three and four dimensional
manifolds and indicate how the Chern-Simons-Dirac
function compares with the finite dimensional situation.
We will discuss many of the details needed to rigorously
construct the Morse complex: transversality, compactness
and glueing. As time permits we will describe how these groups
facilitate computations of the Seiberg-Witten invariants
and discuss the surgery long exact sequence.

La prima lezione del corso sara` il giorno

lunedi` 21 giugno alle ore 14
nell'aula 1 del dipartimento di matematica "L. Tonelli"

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