Speaker: Álvaro K. Ramos - Universidade Federal do Rio Grande do Sul

Date: Thursday, 29/10/2020 - 14h:00 GMT-3 (Brasilia - Buenos Aires)

Abstract: Recall that $\mathbb{E}(-1,\tau)$ is a homogeneous space with four-dimensional isometry group which is given by the total space of a fibration over $\mathbb{H}^2$ with bundle curvature $\tau$. Given a finite collection of simple closed curves in $\partial_{\infty}\mathbb{E}(-1,\tau)$, we provide sufficient conditions on $\Gamma$ so that there exists an area minimizing surface $\Sigma$ in $\mathbb{E}(-1,\tau)$ with asymptotic boundary $\Gamma$. We also present necessary conditions for such a surface $\Sigma$ to exist. This is joint work with P. Klaser and A. Menezes.

Asun Jiménez - UFF 06/11/2020 - 14h:00 GMT-3 (Brasilia - Buenos Aires)

Matheus Vieira - UFES 12/11/2020 - 14h:00 GMT-3 (Brasilia - Buenos Aires)

María Amelia Salazar - UFF 20/11/2020 - 14h:00 GMT-3 (Brasilia - Buenos Aires)

Paolo Piccione - USP 26/11/2020 - 14h:00 GMT-3 (Brasilia - Buenos Aires)

Simon Salamon - KCL 04/12/2020 - 14h:00 GMT-3 (Brasilia - Buenos Aires)

Title: Balanced metrics and the Hull-Strominger system

Speaker: Anna Fino - Università di Torino

Date: Friday, 23/10/2020 - 14h:00 GMT-3 (Brasilia - Buenos Aires)

Abstract: A Hermitian metric on a complex manifold is balanced if its fundamental form is co-closed. An important tool for the study of balanced manifolds is the Hull-Strominger system. In the talk I will review some general results about balanced metrics and present 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. The talk is based on a joint work with G. Grantcharov and L. Vezzoni.

Previous talks.