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SUMMARY:Math Associates Seminar: Symmetries in Algebraic Geometry and the
Cremona Group
DTSTART;VALUE=DATE-TIME:20200618T120000Z
DTEND;VALUE=DATE-TIME:20200618T133000Z
DTSTAMP;VALUE=DATE-TIME:20200808T120706Z
UID:indico-event-9404@ictp.it
DESCRIPTION:\n \n Please register in advance for this meeting:\n \n http
s://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n \n Af
ter registration\, you will receive a confirmation email containing inform
ation about joining the meeting.\n Abstract: In this talk I will discuss s
ymmetries of complex algebraic varieties. When studying a projective varie
ty $X$\, one usually wants to understand its symmetries. Conversely\, the
structure of the group of automorphisms of $X$ encodes relevant geometric
properties of $X$. After describing some examples of automorphism groups o
f projective varieties\, I will discuss why the notion of automorphism is
too rigid in the scope of birational geometry. We are then led to consider
another class of symmetries of $X$\, its birational self-maps. The group
of birational self-maps of the projective space $\\mathbb{P}^n$ is known a
s the Cremona group in dimension $n$. Describing the structure of the Crem
ona group is a major problem in algebraic geometry. While the theory is we
ll developed in dimension $2$\, little is known in dimension $\\geq 3$\, a
nd a natural problem is to construct special subgroups of the Cremona grou
p. I will present a recent work with Alessio Corti and Alex Massarenti\, w
here we investigate subgroups of the Cremona group consisting of symmetrie
s preserving some special meromorphic volume forms.\n\nhttp://indico.ictp.
it/event/9404/
LOCATION:Zoom Meeting
URL:http://indico.ictp.it/event/9404/
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