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Geometry & Geometric Analysis Seminar

The Geometry and Geometric Analysis (GAGA) Seminar is an opportunity for geometers, topologists, and others from TCU and other campuses to learn about new topics of mutual interest. GAGA meets most weeks during the school year. You can find notes from past talks at the GAGA Note Repository, located in a secure off-campus location.

The Fall 2025 GaGA seminar will be Tuesdays at 4 pm in TUC 352 on TCU campus, starting Sep 2, and also the seminar will be available on zoom. Contact Ken Richardson for the link.
 
The first talk of the Fall, 2025 semester will be Tue Sep 2, 4 pm, TUC 352, by Ignat Soroko (SMU):

Title: Artin groups via mapping class groups
Abstract:
Artin groups are an important generalization of braid groups, occurring naturally in topology, algebraic geometry and the theory of singularities. There is a subclass of Artin groups for which methods involving mapping class groups and combinatorics of curves on surfaces proved very fruitful and yielded interesting results. These are the Artin groups which admit geometric embeddings into mapping class groups of orientable surfaces, possibly, with punctures and/or boundary. In a series of recent papers, in co-authorship with Paris, Calvez and Vaskou, we obtained new results for these groups, such as a description of auto- and endomorphisms, investigating $R_\infty$ property, and the problem of classification up to commensurability. I will overview these results, and describe some open problems which may be amenable to existing methods.

Previous Seminars