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Universität Augsburg
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Universität Augsburg
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Dr. Sjoerd Beentjes
University of Edinburgh
spricht am
Dienstag, 23. Oktober 2018
um
15:45 Uhr
im
Raum 1010 (L1)
über das Thema:
| Abstract: |
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Donaldson-Thomas invariants are integers that enumerate curves in a given smooth projective Calabi-Yau 3-fold. Considerations from string theory suggest that there is a relation between the generating functions of DT invariants of certain pairs (X,Y) of CY3s, where X is an orbifold and Y is a crepant resolution of its coarse moduli space. When X satisfies the hard Lefschetz condition (i.e. the fibres of the resolution are at most 1- dimensional), the Crepant Resolution Conjecture (CRC) of Bryan-Cadman-Young predicts a precise relation between the DT generating functions of X and Y.
In this talk, I will reinterpret this relation as an equality of rational functions and I will explain a proof of the CRC via the motivic Hall algebra and Joyce’s wall-crossing formula. This is joint work with Jørgen Rennemo and John Calabrese. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Maxim Smirnov |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).