K3 surfaces and twisted connected sum G2-manifolds
Johannes Nordstrom (University of Bath)
Abstract: The twisted connected sum construction of Kovalev produces many examples of closed Riemannian 7-manifolds with holonomy group G_2 (a special class of Ricci-flat manifolds), starting from complex algebraic geometry data like Fano 3-folds. If the pieces admit automorphisms, then adding an extra twist to the construction yields examples with a wider variety of topological features. I will outline the constructions, and describe how a good understanding of moduli of K3 surfaces appearing as anticanonical divisors in Fano 3-folds is used in a crucial way to match the pieces in the gluing procedure. This is joint work with Diarmuid Crowley and Sebastian Goette.
algebraic geometry
Audience: researchers in the topic
ZAG (Zoom Algebraic Geometry) seminar
Series comments: Description: ZAG seminar
The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.
If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar
Times vary to accommodate speakers time zones but times will be announced in GMT time.
Organizers: | Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu |
*contact for this listing |