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Events ved QM

Fredag 26. november, 13:00-14:00

i CP3-Meeting room (Ø15-604-1)

QM Research Seminar

af      Christoph Schweigert (University of Hamburg)

om Topological field theories with boundaries - applications to tensor networks and representation theory

State sum models of Turaev-Viro type have various applications. Here, we explain their application to projected entangled pair states (PEPS) in tensor network models and to a deeper understanding of equivariant Frobenius-Schur indicators.

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Torsdag 2. december, 15:00-16:00

CP3-Meeting room (Ø15-604-1)

QM Research Seminar

af   Florian Näf (Copenhagen University)

om   TBA

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Mandag 6. december, 15:00-16:00

i   IMADA Conference room (Ø18-509-2)

QM Research Seminar

af    Ekatarina  Amerik (Université Paris Sud - Saclay)

om  Parabolic automorphisms of hyperkähler manifolds

As observed by Serge Cantat, an automorphism of a K3 surface which is a fiberwise translation in an elliptic pencil, acts with dense orbits in the fibers; as a consequence, if a K3 surface has two such automorphisms (with distinct pencils), then the group they generate acts ergodically. We show that the same holds for arbitrary hyperkähler manifolds, as an application of Deligne semisimplicity theorem. This is a joint work with Misha Verbitsky.

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Tirsdag 7. december, 15:00-16:00

i IMADA Conference room (Ø18-509-2)

QM Research Seminar

af       Laurent Côté (Harvard University/IAS)

om An application of symplectic flexibility to a problem in algebraic geometry

There is a notion of ``dimension" for triangulated categories which was introduced by Rouquier.  Orlov conjectured that for a smooth complex algebraic variety, the ``Rouquier dimension" of its bounded derived category of coherent sheaves equals its ordinary Krull dimension.  In joint work with Shaoyun Bai, we settled many new cases of this conjecture using methods from symplectic geometry, and in particular the arborealization theorem of Alvarez-Gavela-Eliashberg-Nadler. I hope to give some context for this work and to summarize the main ideas of the proof. 

Sidst opdateret: 25.11.2021