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SUMMARY:Federico Caucci (Florence)
DTSTART;VALUE=DATE-TIME:20200617T130000Z
DTEND;VALUE=DATE-TIME:20200617T140000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042023Z
UID:GeoSem/1
DESCRIPTION:Title: Derived invariance and the Albanese morphism\nby Federi
co Caucci (Florence) as part of Geometry Seminar - University of Florence\
n\n\nAbstract\nI will give an overview on the derived invariance problem:
how much of the geometry of a smooth complex projective variety is determi
ned by its bounded derived category? I will recall the main theorems and c
onjectures of this area. Finally\, I will present the results of a joint w
ork in progress with L. Lombardi and G. Pareschi\, involving the Albanese
morphism.\n
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SUMMARY:Marco Radeschi (University of Notre Dame)
DTSTART;VALUE=DATE-TIME:20200701T123000Z
DTEND;VALUE=DATE-TIME:20200701T133000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042023Z
UID:GeoSem/2
DESCRIPTION:Title: Invariant Theory without groups\nby Marco Radeschi (Uni
versity of Notre Dame) as part of Geometry Seminar - University of Florenc
e\n\n\nAbstract\nGiven an orthogonal representation of a Lie group G on a
Euclidean vector space V\, Invariant Theory studies the algebra of G-invar
iant polynomials on V. This setting can be generalized by replacing the or
bits of the representation with a foliation by the fibers of a manifold su
bmetry\nfrom the unit sphere S(V)\, and consider the algebra of polynomial
s that are constant along these fibers (effectively producing an Invariant
Theory\, but without groups)\nIn this talk we will exhibit a surprisingly
strong relation between the geometric information coming from the submetr
y and the algebraic information coming from the corresponding algebra\, wi
th several applications to classical Invariant Theory.\nThis talk is based
on a joint work with Ricardo Mendes.\n
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