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 Events
University of British Columbia
Fri 29 May 2020, 8:00am
Algebraic Groups and Related Structures
Online: link available from Zinovy Reichstein
Codimension two cycles on classifying stacks of algebraic tori
Online: link available from Zinovy Reichstein
Fri 29 May 2020, 8:00am-9:00am

Abstract

We give an example of an algebraic torus T such that the group CH^2(BT)_{tors} is non-trivial. This answers a question of Blinstein and Merkurjev.
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Columbia U.
Fri 29 May 2020, 8:00am
Probability Seminar
Online--see O. Angel, M. Murugan or E. Perkins for link
Gibbsian line ensembles in integrable probability
Online--see O. Angel, M. Murugan or E. Perkins for link
Fri 29 May 2020, 8:00am-10:00am

Abstract

 Many important models in integrable probability (e.g. the KPZ equation, solvable directed polymers, ASEP, stochastic six vertex model) can be embedded into Gibbisan line ensembles. This hidden probabilistic structure provides new tools to control the behaviour and asymptotics of these
systems. In my third talk I will zoom out and discuss the origins of this hidden structure. 

In my lectures I will try toward from first principles as much as possible.  The TA sessions and problems sets will serve to reinforce and fill in the details from the lectures.  
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Technical University of Munich
Mon 1 Jun 2020, 9:00am SPECIAL
Probability Seminar
Online. See Omer Angel, Mathav Murugan or Ed Perkins for link
Branching random walks: some recent results and open questions I
Online. See Omer Angel, Mathav Murugan or Ed Perkins for link
Mon 1 Jun 2020, 9:00am-10:00am

Abstract

We give an introduction to branching random walks and their continuous counterpart, branching Brownian motion.We explain some recent results on the maximum of a branching random walk  and its relation to point processes, as well as a connection with fragmentations. The focus will be on open questions.  



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Technical University of Munich
Tue 2 Jun 2020, 9:00am SPECIAL
Probability Seminar
Online--see O. Angel, M. Murugan or E. Perkins for link
Branching random walks: some recent results and open questions II
Online--see O. Angel, M. Murugan or E. Perkins for link
Tue 2 Jun 2020, 9:00am-10:00am

Abstract

 See Monday's lecture.
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Nancy Kopell
Boston University
Wed 3 Jun 2020, 12:00pm
Mathematical Biology Seminar
Zoom - see PIMS remote seminars for details
Brain Rhythms and their Interactions
Zoom - see PIMS remote seminars for details
Wed 3 Jun 2020, 12:00pm-1:00pm

Abstract


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Sebastian Gant
UBC Math
Wed 3 Jun 2020, 3:15pm
Topology and related seminars
Zoom. Contact organizers for meeting ID.
Spaces of Generators of Matrix Algebras
Zoom. Contact organizers for meeting ID.
Wed 3 Jun 2020, 3:15pm-4:15pm

Abstract

Let U_n^r denote the space of r-tuples of nxn complex matrices that generate the matrix algebra Mat_n(C) as an algebra over C. The projective general linear group acts on U_n^r by simultaneous conjugation, and one can form the quotient: B_n^r. These two families of spaces have many interesting homotopical properties. Notably, the spaces B_n^r approximate the classifying space BPGL_n(C); I will show that there is a map B_n^r->BPGL_n(C) that induces an isomorphism on homotopy groups in degrees <2(r-1)(n-1)-1. Lastly, I will sketch the computation of the singular cohomology groups of U_2^r and B_2^r in degrees <4r-6. 
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Technical U.Munich
Thu 4 Jun 2020, 9:00am SPECIAL
Probability Seminar
Online--see O. Angel, M. Murugan or E. Perkins for link
Branching random walks: some recent results and open questions III
Online--see O. Angel, M. Murugan or E. Perkins for link
Thu 4 Jun 2020, 9:00am-10:00am

Abstract

 See Monday's lecture.
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Rutgers University
Fri 5 Jun 2020, 8:00am
Algebraic Groups and Related Structures
Online: link available from Zinovy Reichstein
Field patching, local-global principles and rationality
Online: link available from Zinovy Reichstein
Fri 5 Jun 2020, 8:00am-9:00am

Abstract

This talk will describe local-global principles for torsors for algebraic groups over a semiglobal field -- that is, a one variable function field over a complete discretely valued field.

In particular, I will describe recent joint work with Colliot-Thélène, Harbater, Hartmann, Parimala and Suresh in which we connect this question in certain cases to questions of R-equivalence for the group, and in some cases are able to give finiteness results and combinatorial descriptions for the obstruction to local-global principles.
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Columbia University
Mon 8 Jun 2020, 9:00am SPECIAL
Probability Seminar
Online--see Omer Angel, M. Murugan or E. Perkins for the link
Gibbsian line ensembles in integrable probability
Online--see Omer Angel, M. Murugan or E. Perkins for the link
Mon 8 Jun 2020, 9:00am-10:30am

Abstract

Many important models in integrable probability (e.g. the KPZ equation, solvable directed polymers, ASEP, stochastic six vertex model) can be embedded into Gibbisan line ensembles. This hidden probabilistic structure provides new tools to control the behaviour and asymptotics of these
systems. In my first talk I will discuss the Airy line ensemble and its origins and properties.  

In my lectures I will try toward from first principles as much as possible.  The TA sessions and problems sets will serve to reinforce and fill in the details from the lectures.  

 
hide
Columbia U.
Tue 9 Jun 2020, 9:00am SPECIAL
Probability Seminar
Online--See O. Angel, M. Murugan or E. Perkins for the link.
Gibbsian line ensembles in integrable probability
Online--See O. Angel, M. Murugan or E. Perkins for the link.
Tue 9 Jun 2020, 9:00am-10:30am

Abstract

 Many important models in integrable probability (e.g. the KPZ equation, solvable directed polymers, ASEP, stochastic six vertex model) can be embedded into Gibbisan line ensembles. This hidden probabilistic structure provides new tools to control the behaviour and asymptotics of these
systems. In my second talk I will discuss the KPZ line ensemble and explain how this structure is used to probe the temporal correlation structure of the KPZ equation.

In my lectures I will try toward from first principles as much as possible.  The TA sessions and problems sets will serve to reinforce and fill in the details from the lectures.  


 
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KTH Royal Institute of Technology, Stockholm
Fri 12 Jun 2020, 8:00am
Algebraic Groups and Related Structures
Online: link available from Zinovy Reichstein
Brauer groups of moduli of hyperelliptic curves, via cohomological invariants
Online: link available from Zinovy Reichstein
Fri 12 Jun 2020, 8:00am-9:00am

Abstract

 Given an algebraic variety X, the Brauer group of X is the group of Azumaya algebras over X, or equivalently the group of Severi-Brauer varieties over X, i.e. fibrations over X which are etale locally isomorphic to a projective space. It was first studied in the case where X is the spectrum of a field by Noether and Brauer, and has since became a central object in algebraic and arithmetic geometry, being for example one of the first obstructions to rationality used to produce counterexamples to Noether's problem of whether given a representation V of a finite group G the quotient V/G is rational. While the Brauer group has been widely studied for schemes, computations at the level of moduli stacks are relatively recent, the most prominent of them being the computations by Antieau and Meier of the Brauer group of the moduli stack of elliptic curves over a variety of bases, including Z, Q, and finite fields.
In a recent joint work with A. Di Lorenzo, we use the theory of cohomological invariants, and its extension to algebraic stacks, to completely describe the Brauer group of the moduli stacks of hyperelliptic curves over fields of characteristic zero, and the prime-to-char(k) part in positive characteristic. It turns out that the (non-trivial part of the) group is generated by cyclic algebras, by an element coming from a map to the classifying stack of etale algebras of degree 2g+2, and when g is odd by the Brauer-Severi fibration induced by taking the quotient of the universal curve by the hyperelliptic involution. This paints a richer picture than in the case of elliptic curves, where all non-trivial elements come from cyclic algebras.
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University of Aachen
Fri 19 Jun 2020, 8:00am
Algebraic Groups and Related Structures
Online: link available from Zinovy Reichstein
TBA
Online: link available from Zinovy Reichstein
Fri 19 Jun 2020, 8:00am-9:00am

Abstract

 
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UCLA
Fri 26 Jun 2020, 8:00am
Algebraic Groups and Related Structures
Online: link available from Zinovy Reichstein
Cohomological invariants in positive characteristic
Online: link available from Zinovy Reichstein
Fri 26 Jun 2020, 8:00am-9:00am

Abstract

 We determine the mod p cohomological invariants for several affine group schemes G in chararacteristic p. These are invariants of G-torsors with values in etale motivic cohomology, or equivalently in Kato's version of Galois cohomology based on differential forms. In particular, we find the mod 2 cohomological invariants for the symmetric groups and the orthogonal groups in characteristic 2, which Serre computed in characteristic not 2.
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Northwestern University
Fri 25 Sep 2020, 2:45pm
Mathematical Biology Seminar
ESB 4133
TBA
ESB 4133
Fri 25 Sep 2020, 2:45pm-3:45pm

Abstract

 TBA

Note for Attendees

 Prof Volkening will also deliver the Rising Stars colloquium on Nov 6, 2020.
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Adrianne Jenner
Universite de Montreal
Wed 14 Oct 2020, 1:45pm
Mathematical Biology Seminar
TBD
Improving oncolytic virotherapy using hybrid PDE/agent-based models and ODE systems
TBD
Wed 14 Oct 2020, 1:45pm-2:45pm

Abstract

Developing effective cancer treatment presents a unique challenge due to the overwhelming variability in tumour cell behaviour and spatial heterogeneity. Virotherapy is a type of cancer treatment that uses genetically engineered viruses to infect and lyse cancerous cells. When these viruses are administered with immune cells or immunostimulatory cytokines, an antitumour immune response is instigated. Developing a hybrid PDE/agent-based modelling for the treatment of glioblastoma (a type brain cancer), we predicted the variability in glioblastoma cells that hinders the efficacy of oncolytic virotherapy. We then show how this treatment could be improved for the majority of patients. Recently, gel-based mediums have been used to improve the efficacy of oncolytic virotherapy by providing a sustained therapeutic delivery of the vectors . Using a system of ODEs and a genetic algorithm, we show how this treatment could be further optimised by changing the gel-material to reduce the immune cell release rate. Overall, this talk aims to demonstrate complementing mathematical models and their applications in oncolytic virotherapy.
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Northwestern University
Fri 6 Nov 2020, 3:00pm SPECIAL
Department Colloquium
ESB 1012
TBA
ESB 1012
Fri 6 Nov 2020, 3:00pm-4:00pm

Abstract

 TBA

Note for Attendees

 Rising Stars Colloquium
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ETH Zurich, will move to NYU
Fri 20 Nov 2020, 3:00pm
Department Colloquium
TBD
Faculty of Science Early Career Invited Lecture: TBD
TBD
Fri 20 Nov 2020, 3:00pm-3:50pm

Abstract


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UC Irvine
Thu 18 Mar 2021, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
TBA
TBA
TBA
Thu 18 Mar 2021, 3:30pm-4:30pm

Abstract

 
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UC Irvine
Fri 19 Mar 2021, 3:00pm
Department Colloquium
TBA
PIMS-UBC Rising Star Colloquium
TBA
Fri 19 Mar 2021, 3:00pm-4:00pm

Abstract

 
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Conor Mooney
Fri 19 Mar 2021, 3:00pm SPECIAL
Rising Star Colloquium
Fri 19 Mar 2021, 3:00pm-4:00pm

Details

 
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Ciprian Manolescu
Stanford University
Fri 26 Mar 2021, 3:00pm
Department Colloquium
ESB1012
PIMS-UBC Distinguished Colloquium
ESB1012
Fri 26 Mar 2021, 3:00pm-4:00pm

Abstract

 
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