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 Events
Shen-Ning Tung
Universität Duisburg-Essen
Thu 1 Mar 2018, 3:30pm
Number Theory Seminar
Math 126
On the automorphy of 2-dimensional potentially semistable deformation rings of $\GQp$
Math 126
Thu 1 Mar 2018, 3:30pm-4:30pm

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 Breuil-M\'{e}zard conjecture for 2-dimensional 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 Fontaine-Mazur conjecture by Kisin is removed.
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SNS, Pisa
Fri 2 Mar 2018, 3:00pm SPECIAL
Department Colloquium
ESB2012
PIMS-UBC Distinguished Colloquium--Some specialization problems in Geometry and Number Theory
ESB2012
Fri 2 Mar 2018, 3:00pm-4:00pm

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.

Note for Attendees

Refreshments will be served in ESB 4133 from 2:45 p.m.-3:00 p.m.
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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, 11:00am-12:00pm

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 p-power 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 Iwasawa-theoretic 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, 4:00pm-5:00pm

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, 3:30pm-4:30pm

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, 4:00pm-5:00pm

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, 11:00am-12:00pm

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 p-power 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 Iwasawa-theoretic 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, 3:10pm-4:10pm

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, 11:00am-12:00pm

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 p-power 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 Iwasawa-theoretic 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, 3:00pm-4:00pm

Abstract


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Edmonton
Mon 12 Mar 2018, 4:00pm
Algebraic Geometry Seminar
MATH 126
TBA
MATH 126
Mon 12 Mar 2018, 4:00pm-5:00pm

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, 3:10pm-4:10pm

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
p-Adic modular forms
ESB 4127
Thu 15 Mar 2018, 3:30pm-5:15pm

Abstract

Abstract: p-Adic modular forms have first been defined by J.-P. Serre as q-expansions 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, p-adic weight as q-expansions 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, 3:00pm-4:00pm

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, 3:00pm-4:00pm

Abstract

 

Note for Attendees

Reception beforehand in ESB 4133 (the PIMS lounge). Marty is the distinguished IAM Alumni Lecturer this year. 
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Oregon
Mon 19 Mar 2018, 4:00pm
Algebraic Geometry Seminar
MATH 126
TBA
MATH 126
Mon 19 Mar 2018, 4:00pm-5:00pm

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, 3:30pm-4:30pm

Abstract

Kitaev’s quantum double models provide a rich class of examples of two-dimensional 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, 4:00pm-5:00pm

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, 3:10pm-4:10pm

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, 3:15pm-4:15pm

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, 3:00pm-4:00pm

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, 3:30pm-4:30pm

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, 3:10pm-4:10am

Abstract


TBA
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Danny Shi
Harvard University
Wed 28 Mar 2018, 3:15pm
Topology and related seminars
ESB 4133
TBA
ESB 4133
Wed 28 Mar 2018, 3:15pm-4:15pm

Abstract

 
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Jean-Marc Deshouillers
University of Bordeaux
Thu 29 Mar 2018, 3:30pm
Number Theory Seminar
TBA
Thu 29 Mar 2018, 3:30pm-5:00pm

Abstract


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