Hypermaps and their classifications
 
 
Description: 

Problems in hypermap theory have applications to many branches of mathematics. This is a consequence of the different interpretations of the notion of a hypermap. A hypermap is

-A representation of a hypergraph (Combinatorics);
-A triangulation of a compact surface (Topology);
-A quotient of an isometry group of the hyperbolic plane (Algebra/Geometry);
-A Riemann surface (Analysis/Geometry).

In this talk I will present some technics used by solving problems of the following kind:
-Given a hypergraph, classify all the corresponding hypermaps (with a certain property).
-Given a topological surface, classify all the corresponding hypermaps (with a certain property).
-Identify hypermaps corresponding to the same Riemann surface.

 

Date:  2014-11-19
Start Time:   14:30
Speaker:  Domenico Antonino Catalano (Univ. Aveiro)
Institution:  Universidade de Aveiro
Place:  Room 5.5 Dmat
Research Groups: -Algebra and Combinatorics
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