Seminars & Events for Algebraic Geometry Seminar

December 3, 2014
11:00am - 12:30pm
TBA - McLean

Please note special day.

Speaker: Mark McLean , Stony Brook University
Location:
IAS Room S-101
December 16, 2014
2:00pm - 3:30pm
TBA - Griffiths
Speaker: Philip Griffiths , IAS
Location:
IAS Room S-101
December 17, 2014
11:15am - 12:15pm
TBA - Doran

Please note special day and time.

Speaker: Charles Doran , University of Alberta
Location:
Jadwin Hall 407
February 10, 2015
2:00pm - 3:00pm
TBA - Sam Grushevsky
Speaker: Sam Grushevsky , SUNY, Stony Brook
Location:
IAS Room S-101
February 17, 2015
2:00pm - 3:00pm
Transfinite limits in topos theory
Speaker: Moritz Kerz , Universität Regensburg
Location:
IAS Room S-101
February 18, 2015
11:15am - 12:15pm
TBA - Luca Migliorini
Speaker: Luca Migliorini, University of Bologna, Italy
Location:
IAS Room S-101
February 24, 2015
2:00pm - 3:00pm
Projectivity of the moduli space of KSBA stable pairs and applications

KSBA (Kollár-Shepherd-Barron-Alexeev) stable pairs are higher dimensional generalizations of (weighted) stable pointed curves. I will present a joint work in progress with Sándor Kovács on proving the projectivity of this moduli space, by showing that certain Hodge-type bundles are ample on it. I will also mention applications to the subadditivity of logarithmic Kodaira dimension, and to the ampleness of the CM line bundle.

Speaker: Zsolt Patakfalvi, Princeton University
Location:
IAS Room S-101
February 25, 2015
11:15am - 12:15pm
Automorphisms of smooth canonically polarised surfaces in characteristic 2

Let X be a smooth canonically polarised surface defined over an algebraically closed field of characteristic 2. In this talk I will present some results about the geometry of X in the case when the automorphism scheme Aut(X) of X is not smooth, or equivalently X has nontrivial global vector fields. This is a situation that appears only in positive characteristic and is intimately related to the structure of the moduli stack of canonically polarised surfaces in positive characteristic because the smoothness of the automorphism scheme is the obstruction for the moduli stack to be Deligne-Mumford, something that is always true in characteristic zero but not in general in positive characteristic.

Speaker: Nikolaos Tziolas , University of Cyprus
Location:
IAS Room S-101
March 3, 2015
2:00pm - 3:00pm
TBA - Mircea Mustata
Speaker: Mircea Mustata, University of Michigan
Location:
IAS Room S-101
March 4, 2015
11:15am - 12:15pm
TBA - Patrick Graf
Speaker: Patrick Graf, University of Freiburg
Location:
IAS Room S-101
March 17, 2015
2:00pm - 3:00pm
TBA - Qile Chen
Speaker: Qile Chen , Rice University
Location:
IAS Room S-101
March 24, 2015
2:00pm - 3:00pm
Constructing buildings and harmonic maps
Speaker: Carlos Simpson , Université de Nice - Sophia Antipolis
Location:
IAS Room S-101
March 25, 2015
11:00am - 12:00pm
Framed motives of algebraic varieties (after V. Voevodsky)

This is joint work with G .Garkusha. Using the machinery of framed sheaves developed by Voevodsky, a triangulated category of framed motives is introduced and studied. To any smooth algebraic variety X, the framed motive Mfr(X) is associated in that category. Theorem. The bispectrum (MfrX,Mfr(X)(1),Mfr(X)(2),...), each term of which is a twisted framed motive of X, has motivic homotopy type of the suspension bispectrum of X. (this result is an A1-homotopy analog of a theorem due to G.Segal). We also construct a compactly generated triangulated category of framed bispectra and show that it reconstructs the Morel--Voevodsky category SH(k). This machinery allows to recover in characteristic zero the celebrated theorem due to F. Morel stating that the stable π0,0(k)= the Grothendiek-Witt ring of the field k .

Speaker: Ivan Panin, Steklov Institute of Mathematics, St. Petersburg
Location:
IAS Room S-101
March 31, 2015
2:00pm - 3:00pm
Proof of Grothendieck-Serre conjecture on principal bundles over regular local rings containing a field
Speaker: Ivan Panin , Steklov Institute of Mathematics, St. Petersburg
Location:
IAS Room S-101

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