Welcome to the website of the seminar organized by the Differential Geometry groups of Università di Torino and Politecnico di Torino.  

For any information, please send an e-mail to dgseminar.torino@gmail.com. 

The talks will take place either at the Deparment of Mathematics "G. Peano" (Università di Torino) or at the Department of Mathematical Sciences "G.L. Lagrange" (Politecnico di Torino). 

2/5/2024, 11 am, Sala Orsi, Mathematics Department "G. Peano", Università di Torino

Kotaro Kawai (Beijing Institute of Mathematical Sciences and Applications)

Manifolds with exceptional holonomy and mirrors of their submanifolds.

Abstract: 

Manifolds with exceptional holonomy are considered to be analogous to the Calabi-Yau manifolds and have canonical calibrations. We can also consider the analogue of the mirror symmetry in the exceptional setting in a certain sense, and we can define the ``mirrors" of calibrated submanifolds. They are also related to G2-instantons, which are higher dimensional analogue of ASD connections. 

In this non-technical talk, after introducing these outlines, I would like to explain the properties of the ``mirrors" of calibrated submanifolds, such as the similarities to calibrated submanifolds and G2-instantons.  I will also talk about the ``mirrors" of minimal submanifolds and a certain monotonicity formula for them. 

May TBA 2024. Riccardo Piovani (Università di Torino) 

May 29, 2024. Stefano Montaldo (Università di Cagliari)