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The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on May 28, 2019 at 14:00 in Room 478 of IMI.
A talk on:

Solutions to the Strominger system with torus symmetry

will be delivered by Gueo Grantcharov, Florida International University, USA.

Everybody is invited.

Abstract. In the talk we present a construction of new smooth solutions to the Hull-Strominger system, showing that the Fu-Yau solution on torus bundles over K3 surfaces can be generalized to torus bundles over  K3 orbifolds. In particular, we prove that, for 13 ≤ k ≤ 22 and 14 ≤ r ≤ 22,  the smooth manifolds  S1×♯k(S2×S3) and ♯r(S2×S4)♯r+1(S3×S3)  have a complex structure with trivial canonical bundle and admit a solution to the Hull-Strominger system. This is a joint work with A. Fino and L. Vezzoni from University of  Torino.