![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Masafumi Hattori (Kyoto University)
Tuesday 14 May 2024, 11:45-12:45
Boundedness and moduli of K-stable Calabi--Yau fibrations over curves
- đ¤ Speaker: Masafumi Hattori (Kyoto University)
- đ Date & Time: Tuesday 14 May 2024, 11:45 - 12:45
- đ Venue: Seminar Room 1, Newton Institute
Abstract
The characterization of K-stable varieties is well-studied when $K_X$ is ample or X is a Calabi-Yau or Fano variety. However, K-stability of Calabi-Yau fibrations (i.e., $K_X$ is relatively trivial) is not known much in algebraic geometry. We introduce uniform adiabatic K-stability (if $f\colon (X,H)\to (B,L)$ is a fibration of polarized varieties, which means that K-stability of $(X,aH+L)$ for sufficiently small $a>0$).In this talk, I would like to explain that uniform adiabatic K-stability of a Calabi-Yau fibration over a curve is equivalent to K-stability of the base curve in some sense. Furthermore, we construct separated moduli spaces of polarized uniformly adiabatically K-stable Calabi-Yau fibrations over curves. This talk is based on a joint work with Kenta Hashizume.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
Included in Lists
- All CMS events
- bld31
- dh539
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
Note: Ex-directory lists are not shown.