| CLAN Research Group | Upcoming Meeting | Directions | Past Meetings |
Date: Monday 15th June, 2026
Location: The Bayes Centre, University of Edinburgh, 47 Potterrow, EH8 9BT
All talks will take place on the top floor in room 5.46.
Invited Speakers:
Isabel Colorado Romero (University of Lancaster)
Anton Izosimov (University of Glasgow)
Iacopo Nonis (University of Leeds)
Michael Shapiro (Michigan State University)
Registration : Registration is now open! (The registration form closes on Monday 8th June, but please email the CLAN Chief directly if you wish to register after this date).
If you have any questions about the conference then please contact the Clan Chief:
| 11:00–11.45 | Registration and Coffee & Tea. |
| Location: (outside) room 5.46 |
| 11:45–12:45 | Poisson-Lie groups and cluster structures |
| Michael Shapiro (Michigan State University) | |
| Location: room 5.46 Abstract: It is well known that cluster structures and Poisson structures in the algebra of regular functions on a quasi-affine variety are closely related. In this talk, I will discuss this connection for Poisson structures defined on a simple simply connected complex Lie group G by a pair of classical R-matrices. The key element of the construction is a rational Poisson map from the group with a bracket defined by a pair of suitably chosen standard R-matrices to the same group with an arbitrary pair of R-matrices. In the case of $G=SL_n$ one can build the corresponding cluster structure explicitly and prove its regularity and completeness. Based on joint work with Misha Gekhtman (Notre Dame) and Alek Vainshtein (University of Haifa) |
| 12:45–14:30 | Lunch |
| 14:30–15:30 | Title 2: TBC |
| Speaker 2: TBC | |
| Location: room 5.46 Abstract: |
| 15:30–16:00 | Coffee Break |
| Location: (outside) room 5.46 |
| 16:00–17:00 | Title 3: TBC |
| Speaker 3: TBC | |
| Location: room 5.46 Abstract: |
| 17:00–18:00 | Title 4: TBC |
| Speaker 4: TBC | |
| Location: room 5.46 Abstract: |