COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Noncommutative deformations of curves and spherical twists

## Noncommutative deformations of curves and spherical twistsAdd to your list(s) Download to your calendar using vCal - Michael Wemyss (Edinburgh)
- Wednesday 29 May 2013, 14:15-15:15
- MR 13, CMS.
If you have a question about this talk, please contact Caucher Birkar. I will explain why, when studying derived autoequivalences of 3-folds, it is necessary to consider noncommutative deformations of curves. In the talk I will give a construction of a certain “noncommutative twist” associated to any floppable curve that recovers the flop-flop functor on the level of the derived category. The idea is that the commutative deformation base is too small for the homological algebra to work, so we need to fatten it by considering noncommutative directions. This generalizes work of Seidel—Thomas and Toda who considered the special case when the curve deforms in only one direction. I will try to explain why considering noncommutative deformations is strictly necessary, as I will show that considering only the commutative deformations does not give a derived autoequivalence as one might hope. The talk will be based around one example, where the birational geometry of a certain 3-fold is controlled by the cusp in the quantum plane, which is a 9-dimensional self-injective algebra. This is all based on joint work with Will Donovan. This talk is part of the Algebraic Geometry Seminar series. ## This talk is included in these lists:- Algebraic Geometry Seminar
- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Interested Talks
- MR 13, CMS
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsIsaac Newton Institute Seminar Series Open Cambridge talks Talks at Centre of Molecular Materials for Photonics and Electronics (CMMPE)## Other talksThe Intimate Relation between Mechanics and Geometry Exhibiting Ice Age Cambridge ‘Class-work’ in the elite institutions of higher education Cosmological Probes of Light Relics Modeling and understanding of Quaternary climate cycles Modulating developmental signals allows establishment of cultures of expanded potential stem cells |