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SUMMARY:Olivier Debarre (Universite Paris 7)
DTSTART;VALUE=DATE-TIME:20201222T090000Z
DTEND;VALUE=DATE-TIME:20201222T100000Z
DTSTAMP;VALUE=DATE-TIME:20220528T202921Z
UID:Iskovskikh2020/1
DESCRIPTION:Title: Gushelâ€“Mukai varieties with many symmetries and an explicit irrat
ional Gushelâ€“Mukai threefold\nby Olivier Debarre (Universite Paris 7
) as part of Iskovskikh conference\n\n\nAbstract\nWe construct an explicit
complex smooth Fano threefold with Picard number 1\, index 1\, and de
gree 10 (also known as a Gushel--Mukai threefold) and prove that it is not
rational by showing that its intermediate Jacobian has a faithfull\n${\\r
m PSL}(2\,{\\bf F}_{11}) $-action. Along the way\, we construct Gushel--Mu
kai varieties of various dimensions with rather large (finite) automorphi
sm groups.\nThe starting point of all these constructions is an EPW sexti
c with a faithful ${\\rm PSL}(2\,{\\bf F}_{11}) $-action discovered by Gi
ovanni Mongardi in his thesis in 2013 and all this is joint work with him.
\n
LOCATION:https://researchseminars.org/talk/Iskovskikh2020/1/
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BEGIN:VEVENT
SUMMARY:Alexander Pukhlikov (University of Liverpool)
DTSTART;VALUE=DATE-TIME:20201222T103000Z
DTEND;VALUE=DATE-TIME:20201222T113000Z
DTSTAMP;VALUE=DATE-TIME:20220528T202921Z
UID:Iskovskikh2020/2
DESCRIPTION:Title: Rationally connected rational double covers of primitive Fano varie
ties\nby Alexander Pukhlikov (University of Liverpool) as part of Isko
vskikh conference\n\n\nAbstract\nWe show that for a Zariski general hypers
urface $V$ of degree $M+1$ in ${\\mathbb P}^{M+1}$ for $M\\geqslant 5$ the
re are no Galois rational covers $X\\dashrightarrow V$ with an abelian Gal
ois group\, where $X$ is a rationally connected variety. In particular\, t
here are no rational maps $X\\dashrightarrow V$ of degree 2 with $X$ ratio
nally connected. This fact is true for many other families of primitive Fa
no varieties as well and motivates a conjecture on absolute rigidity of pr
imitive Fano varieties.\n
LOCATION:https://researchseminars.org/talk/Iskovskikh2020/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessio Corti (Imperial Colledge London)
DTSTART;VALUE=DATE-TIME:20201222T123000Z
DTEND;VALUE=DATE-TIME:20201222T133000Z
DTSTAMP;VALUE=DATE-TIME:20220528T202921Z
UID:Iskovskikh2020/3
DESCRIPTION:Title: Mori fibred Calabi-Yau pairs birational to (P3\, quartic surface)\nby Alessio Corti (Imperial Colledge London) as part of Iskovskikh conf
erence\n\n\nAbstract\n(Work with Araujo and Massarenti.)\nWe classify Mori
fibred Calabi-Yau pairs in the title when the surface has an $A_1$ or $A_
2$ singularity.\n
LOCATION:https://researchseminars.org/talk/Iskovskikh2020/3/
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BEGIN:VEVENT
SUMMARY:Igor Dolgachev (University of Michigan)
DTSTART;VALUE=DATE-TIME:20201222T140000Z
DTEND;VALUE=DATE-TIME:20201222T150000Z
DTSTAMP;VALUE=DATE-TIME:20220528T202921Z
UID:Iskovskikh2020/4
DESCRIPTION:Title: Automorphisms of Coble surfaces\nby Igor Dolgachev (University
of Michigan) as part of Iskovskikh conference\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Iskovskikh2020/4/
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