Higher Teichmüller theory and Higgs bundles: interactions and new trends

Higher Teichmüller theory brings together three a priori independent mathematical subjects: the study of geometric structures, of group representations and of Higgs bundles. The first are a valuable tool to study the shape of spaces, which properties are preserved under given changes and how many different shapes a given space can have. The second are algebraic objects, usually studied with geometric techniques. The third come from the study of differential equations closely connected to Physics, equations similar to the ones describing the Higgs boson.

As in all multidisciplinary fields, the interactions between the three subjects result both in a larger set of techniques to study them, and the discovery of new phenomena, which may seem natural from one particular perspective and not the others. The symposium focuses on these relations, both through the participation of some senior researchers, who have the necessary expertise to give a general overview of the field, and (mostly) junior speakers whose research sits at the crossroads of two of the three subjects.

Website: https://www.mathi.uni-heidelberg.de/~diffgeo/Teichmullertheory.html

Kontakt:

Daniele Alessandrini
Ruprecht-Karls Universität Heidelberg
Mathematisches Institut
Im Neuenheimer Feld 288
69120 Heidelberg

Tel.: +49 (0) 6221 54 4977
Email: daniele.alessandrini@gmail.com
Homepage: www.mathi.uni-heidelberg.de/~alessandrini/

Gye-Seon Lee
Ruprecht-Karls Universität Heidelberg
Mathematisches Institut
Im Neuenheimer Feld 288
69120 Heidelberg

Tel.: +49 (0) 6221 54 5698
Email: lee@mathi.uni-heidelberg.de
Homepage: http://www.mathi.uni-heidelberg.de/~lee

Ana Peón-Nieto
Ruprecht-Karls Universität Heidelberg
Mathematisches Institut
Im Neuenheimer Feld 288
69120 Heidelberg

Tel.: +49 (0) 6221 54 5698
Email: apeonnieto@mathi.uni-heidelberg.de
Homepage: http://www.mathi.uni-heidelberg.de/~apeonnieto