University of Washington

Mon 27 Jan 2020, 3:00pm
Algebraic Geometry Seminar
MATH 225

Variation of Instability in Invariant Theory

MATH 225
Mon 27 Jan 2020, 3:00pm4:00pm
Abstract
Mumford's GIT quotient is one way to construct moduli spaces that parametrize classes of algebrogeometric objects. It turns out there is an interesting structure on the set of unstable points discarded in the GIT quotients. In this talk I would aim to describe:
1. the stratification of the unstable points and its variation caused by different choices of linearizations;
2. a wall and chamber decomposition analogous to Variation of Geometric Invariant Theory Quotient;
3. examples and results in the case of projective toric varieties.
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Stony Brook University

Mon 3 Feb 2020, 3:00pm
Algebraic Geometry Seminar
NATH 225

Spectral gap in the dynamical degrees of tame automorphism preserving an affine quadric threefold

NATH 225
Mon 3 Feb 2020, 3:00pm4:00pm
Abstract
In this talk, I will present the tame automorphisms group preserving an affine quadric threefold. The main focus of my talk is the understanding of the degree sequences induced by the elements of this group. Precisely, I will explain how one can apply some ideas from geometric group theory in combination with valuative techniques to show that the values of the dynamical degrees of these tame automorphisms admit a spectral gap. Finally, I will apply these techniques to study random walks on this particular group.
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UBC

Mon 10 Feb 2020, 3:00pm
Algebraic Geometry Seminar
MATH 225

TBA

MATH 225
Mon 10 Feb 2020, 3:00pm3:50pm
Abstract
TBA
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UBC

Mon 24 Feb 2020, 3:00pm
Algebraic Geometry Seminar
MATH 225

TBA

MATH 225
Mon 24 Feb 2020, 3:00pm4:00pm
Abstract
TBA
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École Polytechnique

Mon 2 Mar 2020, 3:00pm
Algebraic Geometry Seminar
MATH 225

TBA

MATH 225
Mon 2 Mar 2020, 3:00pm4:00pm
Abstract
TBA
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UBC

Mon 9 Mar 2020, 3:00pm
Algebraic Geometry Seminar
MATH 225

TBA

MATH 225
Mon 9 Mar 2020, 3:00pm4:00pm
Abstract
TBA
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