Tropical mirror symmetry and real Calabi-Yaus (Diego MATESSI, Milano)

04.12.2023 15:00 – 17:00

Abstract:
I will present some work in progress jont with Arthur
Renaudineau. The goal is to understand the topology of real Calabi-Yaus
by combining the Renaudineau-Shaw spectral sequence with mirror
symmetry. We will consider mirror pairs of Calabi-Yau hypersurfaces X
and X' in toric varieties associated to dual reflexive polytopes. The
first step is to prove an isomorphism between tropical homology groups
of X and X', reproducing the famous mirror symmetry exchange in hodge
numbers. We then expect that the boundary maps in the Renaudineau-Shaw
spectral sequence, computing the homology of the real Calabi-Yaus, can
be interpreted, on the mirror side, using classical operations on homology.

Lieu

Bâtiment: Conseil Général 7-9

Room 6-13, Séminaire "Geneva-Neuchatel Symplectic geometry seminar (GeNeSys)"

entrée libre