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Abstracts for Mini-workshop in algebraic geometry

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Graph potentials and mirrors of moduli of rank two bundles on curves

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Speaker: 
Swarnava Mukhopadhyay
Zugehörigkeit: 
TIFR/MPIM
Datum: 
Mon, 26/06/2023 - 09:30 - 10:30
Location: 
MPIM Lecture Hall

Contact: Nicolas Addington

Dynamical filtrations

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Speaker: 
Hsueh-Yung Lin
Zugehörigkeit: 
National Taiwan University
Datum: 
Mon, 26/06/2023 - 11:00 - 12:00
Location: 
MPIM Lecture Hall

Contact: Nicolas Addington
 

Derived symmetries for crepant resolutions of hypersurfaces

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Speaker: 
Will Donovan
Zugehörigkeit: 
Tsinghua University
Datum: 
Mon, 26/06/2023 - 14:00 - 14:50
Location: 
MPIM Lecture Hall

Contact: Nicolas Addington


Given a singularity with a crepant resolution, a symmetry of the derived category of coherent sheaves on the resolution may often be constructed, with applications to homological mirror symmetry and enumerative geometry.
I discuss work in progress on general constructions of such symmetries for hypersurface singularities, in particular when the resolution is the blowup in a smooth locus. This builds on previous results with Segal, and is inspired by work of Bodzenta-Bondal.

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