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

## Double EPW-sexticsAdd to your list(s) Download to your calendar using vCal - Kieran O'Grady
- Wednesday 22 January 2014, 14:15-15:15
- MR 13, CMS.
If you have a question about this talk, please contact Dr. J Ross. The parameter space for lines on a smooth cubic hypersurface in projective 5-space is a hyperkaehler 4-fold deformation equivalent to the Hilbert square of a K3 surface. By varying the cubic we get almost all isomomorphism classes of deformations of the Hilbert square of a K3 surface equipped with a polarization of Beauville-Bogomolov square 6 and divisbility 2 (these are the two discrete invariants of a primitive polarization on a deformation of the Hilbert square of a K3). There is an analogous picture if we consider deformations of the Hilbert square of a K3 surface equipped with a polarization of Beauville-Bogomolov square 2 (divisibility is necessarily equal to 1). There exists a family of sextic hypersurface in projective 5-space (EPW-sextics) with 2-dimensional singular set, which come equipped with a double cover ramified only over the singular set, such that the family of such double covers parametrizes (up to isomomorphism) almost all deformations of the Hilbert square of a K3 surface equipped with a polarization of Beauville-Bogomolov square 2. We will discuss the geometry of double EPW -sextics, in particular the period map. 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
- Hanchen DaDaDash
- Interested Talks
- MR 13, CMS
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsClimate Science Seminars within Cambridge Cambridge Ukrainian Studies Lecture Series CU Pakistan Society Short Course: Higher order regularisation in imaging Philosophy Events## Other talksAutumn Cactus & Succulent Show Using single-cell technologies and planarians to study stem cells, their differentiation and their evolution National crises, viewed in the light of personal crises Wetting and elasticity: 2 experimental illustrations Rhys Jones: Temporal Claustrophobia at the Continental Congress, 1774-1776 Protein Folding, Evolution and Interactions Symposium Existence of Lefschetz fibrations on Stein/Weinstein domains How to Deploy Psychometrics Successfully in an Organisation Migration in Science Disease Migration HONORARY FELLOWS PRIZE LECTURE - Towards a silent aircraft |