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 > Differential Geometry and Topology Seminar > The cohomological McKay correspondence via Floer theory

## The cohomological McKay correspondence via Floer theoryAdd to your list(s) Download to your calendar using vCal - Alexander Ritter, Oxford
- Wednesday 22 February 2017, 16:00-17:00
- MR13.
If you have a question about this talk, please contact Ivan Smith. The goal of my talk is to present work in progress, jointly with Mark McLean (Stony Brook, NY), which proves the cohomological McKay correspondence using symplectic topology techniques. This correspondence states that given a crepant resolution Y of the singularity \C^n / G, where G is a finite subgroup of SL(n,\C), the conjugacy classes of G are in 1-1 correspondence with generators of the cohomology of Y. This statement was proved by Batyrev (1999) and Denef-Loeser (2002) using algebraic geometry techniques. We instead construct a certain symplectic cohomology group of Y whose generators are Hamiltonian orbits in Y to which one can naturally associate a conjugacy class in G. We then show that this symplectic cohomology recovers the classical cohomology of Y. This work is part of a large-scale project which aims to study the symplectic topology of resolutions of singularities also outside of the Calabi-Yau setup. This talk is part of the Differential Geometry and Topology Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Differential Geometry and Topology Seminar
- MR13
- School of Physical Sciences
Note that ex-directory lists are not shown. |
## Other listsGem's List Statistics Reading Group SciBar Cambridge## Other talksStakeholder perceptions across scales of governance: areas of controversy and consensus related to the Indonesian peatland fires Nonstationary Gaussian process emulators with covariance mixtures Ovarian cancer - demographics, presentation, diagnosis and patient pathway Language Adaptation experiments: Cross-lingual embeddings for related languages Adaptive auditory cortical coding of speech Multi-scale observations of ocean circulation in the Atlantic |