Speaker: Ruobing Zhang, Princeton University

Title: Collapsing geometry and moduli space of Einstein metrics in dimension four
 
Abstract: This talk focuses on the recent resolution of the following conjectures in the study of Ricci-flat four manifolds.

(1) Any volume collapsed limit of unit-diameter Einstein metrics on the K3 manifold is isometric to one of the following: the quotient of a flat 3D torus by an involution, a singular special Kaehler metric on the topological 2-sphere, or the unit interval.

(2) Any complete non-compact hyperkaehler 4-manifold with quadratically integrable curvature, namely gravitational instanton, must have one of the following asymptotic model geometries: ALE, ALF, ALG, ALH, ALG* and ALH*.
 
We will also discuss some applications and further directions.

Engineering and Computer Science West (ECSW), ECSW 1.315
800 W. Campbell Road, Richardson, Texas 75080-3021

Natural Sciences & Mathematics
Stephen E. McKeown
Email
9728834684

UTD strives to create inclusive and accessible events in accordance with the Americans with Disabilities Act (ADA). If you require an accommodation to fully participate in this event, please contact the event coordinator (listed above) at least 10 business days prior to the event. If you have any additional questions, please email ADACoordinator@utdallas.edu and the AccessAbility Resource Center at accessability@utdallas.edu.

  • Leah Sullivan

1 person is interested in this event

Event Publishing

Add an Event 

Submit your own event using our simple event submission form. It only takes a minute!

Event Publisher Training 

Learn best practices to maximize the calendar’s latest features.

Make a Calendar Feed 

Embed events anywhere on the web with our widget builder.

Explore Comet Calendar

Events by Email

Get a personalized list of events in your inbox with our digest emailer.

30-second Survey

Share your feedback and suggestions on how we can improve the Comet Calendar.

The University of Texas at Dallas