This article is an extended version of the talk given by the author in the seminar Théorie Spectrale et Géométrie at the Institut Fourier in March 2022. We present some results of the PhD-thesis of the author [20] extended by several results from the articles [1, 3, 11]. We give a parametrization of the space of maximal framed representations of the fundamental group of a punctured surface into a Hermitian Lie group of tube type that can be seen as for a Hermitian algebra . Using this parametrization, we count connected components of the space of maximal framed representations as well as the space of maximal (non-framed) representations.
@article{TSG_2021-2022__37__81_0,
author = {Eugen Rogozinnikov},
title = {On a parametrization of spaces of maximal framed representations},
journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
pages = {81--110},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {37},
year = {2021-2022},
doi = {10.5802/tsg.383},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.383/}
}
TY - JOUR AU - Eugen Rogozinnikov TI - On a parametrization of spaces of maximal framed representations JO - Séminaire de théorie spectrale et géométrie PY - 2021-2022 SP - 81 EP - 110 VL - 37 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.383/ DO - 10.5802/tsg.383 LA - en ID - TSG_2021-2022__37__81_0 ER -
%0 Journal Article %A Eugen Rogozinnikov %T On a parametrization of spaces of maximal framed representations %J Séminaire de théorie spectrale et géométrie %D 2021-2022 %P 81-110 %V 37 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.383/ %R 10.5802/tsg.383 %G en %F TSG_2021-2022__37__81_0
Eugen Rogozinnikov. On a parametrization of spaces of maximal framed representations. Séminaire de théorie spectrale et géométrie, Tome 37 (2021-2022), pp. 81-110. doi : 10.5802/tsg.383. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.383/
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