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 Events
Jean-luc Doumont
Tue 30 Jun 2015, 10:00am
PIMS Seminars and PDF Colloquiums
TRIUMF auditorium (on the UBC campus)
Structuring your research paper
TRIUMF auditorium (on the UBC campus)
Tue 30 Jun 2015, 10:00am-12:00pm

Abstract


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University of Alberta
Tue 30 Jun 2015, 3:00pm
Algebraic Groups and Related Structures
MATH 126
Upper-homogeneous varieties
MATH 126
Tue 30 Jun 2015, 3:00pm-4:00pm

Abstract

We introduce a new class of algebraic varieties which is closed under products and embraces, e.g., projective homogeneous varieties, generically split varieties, and standard norm varieties (associated to symbols in Galois cohomology groups). We prove for this class the characterization of canonical p-dimension in terms of algebraic cycles previously known for projective homogeneous and generically split varieties. As an application, we extend to this class the incompressibility criterion of products previously known only for certain type of projective homogeneous varieties.
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George Bluman
UBC Math
Fri 3 Jul 2015, 2:30pm
Symmetries and Differential Equations Seminar
Math 125
Nonlocally related systems and nonlocal symmetries III
Math 125
Fri 3 Jul 2015, 2:30pm-3:30pm

Abstract

This lecture will be a continuation of the previous one with illustrative examples.
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Ph.D. Candidate: Thomas Wong
Mathematics, UBC
Fri 24 Jul 2015, 12:30pm SPECIAL
One Time Event
Room 200, Graduate Student Centre, 6371 Crescent Rd., UBC
Doctoral Exam: Enumeration Problems in Directed Walk Models
Room 200, Graduate Student Centre, 6371 Crescent Rd., UBC
Fri 24 Jul 2015, 12:30pm-2:30pm

Details

ABSTRACT: Self-avoiding walks appear ubiquitously in the mathematical study of linear polymers as it naturally captures their volume exclusion property. However, self-avoiding walks are very difficult to analyse with few rigourous results available.

In 2008, Alvarez et al. determined numerical results for the forces induced by a self-avoiding walk in an interactive slit. These results resembled the exact results for a directed model in the same setting by Brak et al., suggesting the physical consistency of directed walks as polymer models. In the directed walk model, three phases were identified in the infinite slit limit as well as the regions of attractive and repulsive forces induced by the polymer on the walls.

Via the kernel method, we extend the model to include two directed walks as a way to find exact enumerative results for studying the behaviour of ring polymers near an interactive wall, or walls.

We first consider a ring polymer near an interactive surface via two friendly walks that begin and end together along a single wall. We find an exact solution and provide a full analysis of the phase diagram, which admits three phase transitions.

The model is extended to include a second wall so that two friendly walks are confined in an interactive slit. We find and analyse the exact solution of two friendly walks tethered to different walls where single interactions are permitted. That is, each walk interacts with the wall it is tethered to. This model exhibits repulsive force only in the parameter space. While these results differ from the single polymer models, they are consistent with Alvarez et al.

Finally, we consider the model with double interactions, where each walk interacts with both walls. We are unable to find exact solutions via the kernel method. Instead, we use transfer matrices to obtain numerical results to identify regions of attractive and repulsive forces. The results we obtain are qualitatively similar to those presented in Alvarez et al. Furthermore, we provide evidence that the zero force curve does not satisfy any simple polynomial equation.
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University of Warwick
Thu 10 Sep 2015, 3:30pm
Number Theory Seminar
SFU (room TBA)
TBA
SFU (room TBA)
Thu 10 Sep 2015, 3:30pm-4:30pm

Abstract

 
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Fri 11 Sep 2015, 3:00pm
Department Colloquium
reserved
Fri 11 Sep 2015, 3:00pm-4:00pm

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Yakov Sinai
Princeton University
Fri 23 Oct 2015, 3:00pm SPECIAL
Department Colloquium / PIMS Seminars and PDF Colloquiums
ESB2012
TBA-PIMS/UBC Distinguished Colloquium
ESB2012
Fri 23 Oct 2015, 3:00pm-4:00pm
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Universita di Roma Tor Vergata
Tue 27 Oct 2015, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
TBA
ESB 2012
Tue 27 Oct 2015, 3:30pm-4:30pm

Abstract

 
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Fri 30 Oct 2015, 3:00pm
Department Colloquium
reserved
Fri 30 Oct 2015, 3:00pm-4:00pm

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Fri 13 Nov 2015, 3:00pm
Department Colloquium
reserved
Fri 13 Nov 2015, 3:00pm-4:00pm

Abstract


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UC Berkeley
Fri 4 Mar 2016, 3:00pm SPECIAL
Department Colloquium
ESB 2012
PIMS Hugh Morris Lecture
ESB 2012
Fri 4 Mar 2016, 3:00pm-4:00pm

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