ALGEBRAIC GEOMETRY SEMINAR - Wednesday, 15 February, at 14:00 (Yinbang Lin)/Online

[ICTP Math Section]

_ALGEBRAIC GEOMETRY SEMINAR_

Wednesday 15 February, 14:00 (Rome Time)_
_

VENUE: ONLINE

REGISTRATION LINK: 
https://zoom.us/meeting/register/tJUtdumqpjwjGtAzN21XRbOqja09aZKefFci


Speaker: Yinbang Lin (Tongji University in Shanghai)

Title: Gaeta resolutions and strange duality over rational surfaces

Abstract: We will discuss resolutions of coherent sheaves by line 
bundles from strong full exceptional sequences over rational surfaces. 
We call them Gaeta resolutions. We then apply the results towards the 
study of the moduli space of sheaves, in particular Le Potier's strange 
duality conjecture. We will show that the strange morphism is injective 
in some new cases. One of the key steps is to show that certain Quot 
schemes are finite and reduced. The next key step is to enumerate the 
length of the finite Quot scheme, by identifying the Quot scheme as the 
moduli space of limit stable pairs, where we are able to calculate the 
(virtual) fundamental class. /This is based on joint work with Thomas 
Goller./

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Koutou Mabilo
ICTP Mathematics Group
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