Reminder - Course "Some topological methods in moduli theory" by Prof. Fabrizio Catanese

Fabio Perroni perroni at sissa.it
Mon Nov 24 19:27:53 CET 2014


Professor Fabrizio Catanese (University of Bayreuth) will visit SISSA  
from November 25. until November 29.
He will give a mini course on "Some topological methods in moduli theory".

1. Projective varieties which are K(\pi,1)'s. Group actions on Abelian  
varieties and Bagnera-De Franchis varieties.

2. Orbifold fundamental groups and moduli spaces of curves with symmetries.

3. Group cohomology and homology, topological invariants of group  
actions on curves.

4. Inoue type manifolds and surfaces and their moduli spaces.

Some references:

Fabrizio Catanese, "Differentiable and deformation type of algebraic  
surfaces, real and symplectic structures".
Symplectic 4-manifolds and algebraic surfaces, 55–167, Lecture Notes  
in Math., 1938, Springer, Berlin, 2008.

Fabrizio Catanese "A Superficial Working Guide to Deformations and Moduli".
Appeared in the Handbook of Moduli, in honour of David Mumford,  
published by International press, Somerville, Massachusetts, U.S.A.,  
and by
Higher Education Press, Beijing, China. Editors Gavril Farkas and Ian  
Morrison.
Handbook of moduli I, Volume 24
Advanced Lectures in Mathematics, International press (2013), book I,  
pages 161-216. arXiv:1106.1368

Ingrid Bauer, Fabrizio Catanese, "Inoue type manifolds and Inoue  
surfaces: a connected component of the moduli space of surfaces with  
K2=7, pg=0".
Geometry and arithmetic, 23–56, EMS Ser. Congr. Rep., Eur. Math. Soc.,  
Zürich, 2012.

Fabrizio Catanese, Michael Loenne, Fabio Perroni, "Genus stabilization  
for moduli of curves with symmetries", arXiv:1301.4409 .

Fabrizio Catanese, "Topological methods in algebraic geometry". Appended file.


The lectures will take place in  SISSA main building, according to the  
following schedule (please, notice the change of schedule):

Tuesday, 25/11, 16:00 -- 18:00, Room 005,
THURSDAY, 27/11, 14:00 -- 16:00, Room 004,
Friday, 28/11, 16:00 -- 18:00 , Room 005.


Everyone interested is welcome to attend.

-- 
Fabio Perroni
SISSA
Scuola Internazionale Superiore di Studi Avanzati
Via Bonomea n. 265 - 34136 Trieste (Italy)
Room A-725
Tel. +39 0403787 854
email perroni[at]sissa.it


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