Courses / ActivitiesSpherical objects and the braid group actions
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In this talk, we will introduce the notion of spherical objects on derived categories of coherent sheaves, and use them to obtain some autoequivalences via Fourier-Mukai transforms. Later we will prove certain sequences of spherical objects can induce a representation of the Braid groups. Finally we will talk about the relation between spherical and exceptional objects under specified morphisms.
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2018-08-15
10:00:00 - 11:00:00
103 , Mathematics Research Center Building (ori. New Math. Bldg.)
In this talk, we will introduce the notion of spherical objects on derived categories of coherent sheaves, and use them to obtain some autoequivalences via Fourier-Mukai transforms. Later we will prove certain sequences of spherical objects can induce a representation of the Braid groups. Finally we will talk about the relation between spherical and exceptional objects under specified morphisms.