Spring 2018 GRASP Seminar
This is the website for the GRASP (Geometry, Representation Theory, And Some Physics) student seminar.
The seminar meets from 2-3 PM on Tuesdays in 939 Evans.
For questions, or if you'd like to give a talk or be added to the mailing list, contact Calvin via email at cmcs, with domain math.berkeley.edu.
This semester, GRASP is focusing on the Poisson geometry of Lie groups and connections with cluster algebras and with integrable systems.
Schedule
- 23 January
-
Introduction to Poisson-Lie groups and quantum groups
German Stefanich
- 30 January
-
Poisson manifolds and their symplectic leaf decompositions
Aaron Brookner
Slides for the talk
- 6 February
-
Bruhat decomposition of (Poisson)-Lie groups
Alex Sherman
Notes
- 13 February
-
More on Bruhat decomposition and examples
Alex Sherman
Notes
- 20 February
-
Introduction to cluster X-varieties
Mario Sanchez
Room change: We will instead meet in 732 Evans.
- 27 February
-
Interactive Yang-Baxter equation and classical solution classification
Aaron Brookner
Slides for the talk
- 6 March
-
Overview of cluster algebras with examples
Melissa Sherman-Bennett
- 13 March
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No talk
- 20 March
-
Cluster X-varieties and Poisson-Lie groups
Calvin McPhail-Snyder
- 27 March
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No talk
Spring break
- 3 April
-
Introduction to integrable systems
David Keating
More to come!
References
A by no means comprehensive list of references.
More will be added as the semester progresses.
- Cluster Algebras and Poisson Geometry, Gekhtman, Shapiro, and Vainshtein
- A Guide to Quantum Groups, Chari and Pressley
- Lectures on Quantum Groups, Etingof and Schiffmann
- Cluster ensembles, quantization and the dilogarithm, Fock and Goncharov, arXiv:math/0311245
- Cluster X-varieties, amalgamation, and Poisson-Lie groups, Fock and Goncharov, arXiv:math/0508408