Universität DuisburgEssen

Thu 1 Mar 2018, 3:30pm
Number Theory Seminar
Math 126

On the automorphy of 2dimensional potentially semistable deformation rings of $\GQp$

Math 126
Thu 1 Mar 2018, 3:30pm4:30pm
Abstract
Using $p$adic local Langlands correspondence for $\GL_2(\Qp)$, we prove that the support of patched modules $\Minf(\sigma)[1/p]$ constructed by Caraiani, Emerton, Gee, Geraghty, Paškūnas, and Shin meet every irreducible component of the potentially semistable deformation ring $\Rinf(\sigma)[1/p]$. This gives a new proof of the BreuilM\'{e}zard conjecture for 2dimensional representations of the absolute Galois group of $\Qp$ when $p \geq 3$, which is new in the case $p=3$ and $\rbar$ a twist of the trivial character by the mod $p$ cyclotomic character. As a consequence, the local restriction in the proof of FontaineMazur conjecture by Kisin is removed.
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SNS, Pisa

Fri 2 Mar 2018, 3:00pm
SPECIAL
Department Colloquium
ESB2012

PIMSUBC Distinguished ColloquiumSome specialization problems in Geometry and Number Theory

ESB2012
Fri 2 Mar 2018, 3:00pm4:00pm
Abstract
We shall survey over the general issue of
`specializations which preserve a property',
for a parametrized family of algebraic varieties.
We shall limit ourselves to a few examples.
We shall start by recalling typical contexts like
Bertini and Hilbert Irreducibility theorems,
illustrating some new result.
Then we shall jump to much more recent instances,
related to algebraic families of abelian varieties.
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Université Laval

Mon 5 Mar 2018, 11:00am
SPECIAL
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127

Introduction to Supersingular Iwasawa Theory of Elliptic Curves (talk 1)

ESB 4127
Mon 5 Mar 2018, 11:00am12:00pm
Abstract
Let E/Q be an elliptic curve. In Iwasawa Theory, we study the behaviours of E over a tower of number fields. For example, it is known that the Mordell Weil ranks of E over all ppower cyclotomic extensions of Q are bounded when p does not divide the conductor of E. Surprisingly, the techniques required to show this are very different depending on the number of points on the finite curve when we consider E reduced modulo p. The easier case is when E has "ordinary" reduction at p and the more difficult case is when E has "supersingular" reduction at p. I will review the Iwasawatheoretic tools used to study the behaviours of E over cyclotomic fields in these two cases. I will also discuss some recent developments on the Iwasawa theory of elliptic curves over quadratic extensions of Q.
This is talk 1 of 3 by the speaker, and part of the PIMS Thematic Events on "Galois groups in arithmetic".
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University of Washington

Mon 5 Mar 2018, 4:00pm
Algebraic Geometry Seminar
MATH 126

TBA

MATH 126
Mon 5 Mar 2018, 4:00pm5:00pm
Abstract
TBA
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McGill

Tue 6 Mar 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012

TBA

ESB 2012
Tue 6 Mar 2018, 3:30pm4:30pm
Abstract
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Harvard University.

Tue 6 Mar 2018, 4:00pm
Discrete Math Seminar
ESB 4127

TBD

ESB 4127
Tue 6 Mar 2018, 4:00pm5:00pm
Abstract
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Université Laval

Wed 7 Mar 2018, 11:00am
SPECIAL
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127

Introduction to Supersingular Iwasawa Theory of Elliptic Curves (talk 2)

ESB 4127
Wed 7 Mar 2018, 11:00am12:00pm
Abstract
Let E/Q be an elliptic curve. In Iwasawa Theory, we study the behaviours of E over a tower of number fields. For example, it is known that the Mordell Weil ranks of E over all ppower cyclotomic extensions of Q are bounded when p does not divide the conductor of E. Surprisingly, the techniques required to show this are very different depending on the number of points on the finite curve when we consider E reduced modulo p. The easier case is when E has "ordinary" reduction at p and the more difficult case is when E has "supersingular" reduction at p. I will review the Iwasawatheoretic tools used to study the behaviours of E over cyclotomic fields in these two cases. I will also discuss some recent developments on the Iwasawa theory of elliptic curves over quadratic extensions of Q.
This is talk 2 of 3 by the speaker, and part of the PIMS Thematic Events on "Galois groups in arithmetic".
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UBC

Wed 7 Mar 2018, 3:10pm
Probability Seminar
LSK 460

TBA

LSK 460
Wed 7 Mar 2018, 3:10pm4:10pm
Abstract
TBA
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Université Laval

Fri 9 Mar 2018, 11:00am
SPECIAL
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127

Introduction to Supersingular Iwasawa Theory of Elliptic Curves (talk 3)

ESB 4127
Fri 9 Mar 2018, 11:00am12:00pm
Abstract
Let E/Q be an elliptic curve. In Iwasawa Theory, we study the behaviours of E over a tower of number fields. For example, it is known that the Mordell Weil ranks of E over all ppower cyclotomic extensions of Q are bounded when p does not divide the conductor of E. Surprisingly, the techniques required to show this are very different depending on the number of points on the finite curve when we consider E reduced modulo p. The easier case is when E has "ordinary" reduction at p and the more difficult case is when E has "supersingular" reduction at p. I will review the Iwasawatheoretic tools used to study the behaviours of E over cyclotomic fields in these two cases. I will also discuss some recent developments on the Iwasawa theory of elliptic curves over quadratic extensions of Q.
This is talk 3 of 3 by the speaker, and part of the PIMS Thematic Events on "Galois groups in arithmetic".
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UBC Math

Fri 9 Mar 2018, 3:00pm
Department Colloquium
ESB 2012

Graduate Research Award: TBA

ESB 2012
Fri 9 Mar 2018, 3:00pm4:00pm
Abstract
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Edmonton

Mon 12 Mar 2018, 4:00pm
Algebraic Geometry Seminar
MATH 126

TBA

MATH 126
Mon 12 Mar 2018, 4:00pm5:00pm
Abstract
TBA
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University of Washington

Wed 14 Mar 2018, 3:10pm
Probability Seminar
LSK 460

TBA

LSK 460
Wed 14 Mar 2018, 3:10pm4:10pm
Abstract
TBA
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Concordia University

Thu 15 Mar 2018, 3:30pm
SPECIAL
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127

pAdic modular forms

ESB 4127
Thu 15 Mar 2018, 3:30pm5:15pm
Abstract
Abstract: pAdic modular forms have first been defined by J.P. Serre as qexpansions and have later been interpreted geometrically by N. Katz as sections of certain modular line bundles over the ordinary locus of the relevant modular curves.
Katz also defined overconvergent modular forms of integer weights as overconvergent sections of the modular line bundles of that weight. Many years later H. Hida and respectively R. Coleman defined ordinary, respectively finite slope overconvergent modular forms of arbitrary, padic weight as qexpansions and using these Coleman and Mazur constructed at the end of the 90's the famous eigencurve. Recently, together with Andreatta, Pilloni and Stevens we have been able to geometrically redefine the overconvergent modular forms of Hida and Coleman and so we were able to generalize these constructions to Hilbert and Siegel modular forms.
This talk is part of the PIMS Thematic Events on "Galois groups in arithmetic".
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UBC Math

Fri 16 Mar 2018, 3:00pm
Department Colloquium
ESB 2012

Graduate Research Award: TBA

ESB 2012
Fri 16 Mar 2018, 3:00pm4:00pm
Abstract
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School of Sustainability, Arizona State

Mon 19 Mar 2018, 3:00pm
SPECIAL
Institute of Applied Mathematics
ESB 2012

TBA

ESB 2012
Mon 19 Mar 2018, 3:00pm4:00pm
Abstract
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Oregon

Mon 19 Mar 2018, 4:00pm
Algebraic Geometry Seminar
MATH 126

TBA

MATH 126
Mon 19 Mar 2018, 4:00pm5:00pm
Abstract
TBA
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University of California, Davis

Tue 20 Mar 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012

Stability of the superselection sectors of Kitaev’s abelian quantum double models

ESB 2012
Tue 20 Mar 2018, 3:30pm4:30pm
Abstract
Kitaev’s quantum double models provide a rich class of examples of twodimensional lattice models with topological order in the ground states and a spectrum described by anyonic elementary excitations. The infinite volume ground states of the abelian quantum double models come in a number of equivalence classes called superselection sectors. We prove that the superselection structure remains unchanged under uniformly small perturbations of the quantum double Hamiltonians. (joint work with Matthew Cha and Pieter Naaijkens)
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MIT

Tue 20 Mar 2018, 4:00pm
Discrete Math Seminar
ESB 4127

TBD

ESB 4127
Tue 20 Mar 2018, 4:00pm5:00pm
Abstract
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University of Washington

Wed 21 Mar 2018, 3:10pm
Probability Seminar
LSK 460

TBA

LSK 460
Wed 21 Mar 2018, 3:10pm4:10pm
Abstract
TBA
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University of Oregon

Wed 21 Mar 2018, 3:15pm
Topology and related seminars
ESB 4133

TBA

ESB 4133
Wed 21 Mar 2018, 3:15pm4:15pm
Abstract
TBA
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UBC Math

Fri 23 Mar 2018, 3:00pm
Department Colloquium
ESB 2012

Graduate Research Award: TBA

ESB 2012
Fri 23 Mar 2018, 3:00pm4:00pm
Abstract
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Arizona State University

Tue 27 Mar 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012


ESB 2012
Tue 27 Mar 2018, 3:30pm4:30pm
Abstract
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University of Washington

Wed 28 Mar 2018, 3:10pm
Probability Seminar
LSK 460

TBA

LSK 460
Wed 28 Mar 2018, 3:10pm4:10am
Abstract
TBA
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Harvard University

Wed 28 Mar 2018, 3:15pm
Topology and related seminars
ESB 4133

TBA

ESB 4133
Wed 28 Mar 2018, 3:15pm4:15pm
Abstract
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University of Bordeaux

Thu 29 Mar 2018, 3:30pm
Number Theory Seminar

TBA

Thu 29 Mar 2018, 3:30pm5:00pm
Abstract
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Note for Attendees
Refreshments will be served in ESB 4133 from 2:45 p.m.3:00 p.m.