Mathematics Dept.
  Events
Nathaniel Bottman, Assistant Professor
University of Southern California
Mon 16 Dec 2019, 2:00pm
Department Colloquium
MATX 1100
What analysis, combinatorics, and quilted spheres can tell us about symplectic geometry
MATX 1100
Mon 16 Dec 2019, 2:00pm-3:00pm

Abstract

Over the past three decades, symplectic geometers have constructed powerful curve-counting invariants of symplectic manifolds. The chief example is the Fukaya category, which revealed a deep connection with algebraic geometry via Kontsevich's Homological Mirror Symmetry conjecture. In this talk, I will describe my program to relate the Fukaya categories of different symplectic manifolds. The key objects are "witch balls" (coupled systems of PDEs whose domain is the Riemann sphere decorated with circles and points), as well as the configuration spaces of these domains, which are posets called "2-associahedra". I will describe applications to symplectic geometry, algebraic geometry, and topology.
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Nathaniel Bottman
University of Southern California
Tue 17 Dec 2019, 2:00pm
MATH 204
Symplectic Geometry Seminar: Functoriality for the Fukaya category and a compactified moduli space of pointed vertical lines in C^2
MATH 204
Tue 17 Dec 2019, 2:00pm-3:00pm

Details

Abstract: A Lagrangian correspondence between symplectic manifolds induces a functor between their respective Fukaya categories. I will begin by introducing this construction, along with a family of abstract polytopes called 2-associahedra (introduced in math/1709.00119), which control the coherences among this collection of functors. Next, I will describe new joint work with Alexei Oblomkov (math/1910.02037), in which we construct a compactification of the moduli space of configurations of pointed vertical lines in C^2 modulo affine transformations (x,y) -> (ax+b,ay+c). These spaces are proper complex varieties with toric lci singularities, which are equipped with forgetful maps to \overline{M}_{0,r}. Our work yields a smooth structure on the 2-associahedra, thus completing one of the last remaining steps toward a complete functoriality structure for the Fukaya category.
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Sat 11 Jan 2020, 9:00am SPECIAL
MATH 126
Qualifying Exams - Analysis
MATH 126
Sat 11 Jan 2020, 9:00am-12:00pm

Details

For more information on Qualifying Exams, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
Lunch (pizza) will be provided in MATH 125 for students writing the Analysis exam.
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Sat 11 Jan 2020, 1:00pm SPECIAL
MATH 126
Qualifying Exams - Differential Equations
MATH 126
Sat 11 Jan 2020, 1:00pm-4:00pm

Details

For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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Sat 11 Jan 2020, 1:00pm SPECIAL
MATH 126
Qualifying Exams - Algebra
MATH 126
Sat 11 Jan 2020, 1:00pm-4:00pm

Details

For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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University of Queensland
Mon 13 Jan 2020, 2:00pm SPECIAL
Discrete Math Seminar
Math 126
Sage Workshop
Math 126
Mon 13 Jan 2020, 2:00pm-4:00pm

Abstract


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University of Queensland
Tue 14 Jan 2020, 4:00pm
Discrete Math Seminar
ESB 4127
Lascoux polynomials and colored vertex models
ESB 4127
Tue 14 Jan 2020, 4:00pm-5:00pm

Abstract

The cohomology ring of the Grassmannian, the set of k-dimensional subspaces in n-dimensional space, can be described by Schur functions, a symmetric function that are characters of the special linear Lie group. To study the K-theory ring, the corresponding objects we use are (symmetric) Grothendieck polynomials. Demazure characters can be considered as partial Schur functions and are characters of representations of the subgroup of upper triangular matrices. The K-theoretic analog of Demazure characters are known as Lascoux polynomials, but they currently have no representation theoretic or geometric interpretation. In joint work with Valentin Buciumas and Katherine Weber, we give the first known combinatorial interpretation for Lascoux polynomials by describing a colored version of the 5-vertex model of Motegi and Sakai. In this talk, we will discuss Lascoux polynomials, the colored 5-vertex model, and the corresponding combinatorial interpretation from our result. No knowledge of the material will be assumed.
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Wed 15 Jan 2020, 3:45pm
Earth Sciences Bldg, 4148 lounge
PIMS Tea: gathering reconvenes Wednesday afternoon for the term
Earth Sciences Bldg, 4148 lounge
Wed 15 Jan 2020, 3:45pm-4:15pm

Details


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Shuxing Li
Simon Fraser University
Tue 21 Jan 2020, 4:00pm
Discrete Math Seminar
ESB 4127
Formal Duality in Finite Abelian Groups
ESB 4127
Tue 21 Jan 2020, 4:00pm-5:00pm

Abstract

In Euclidean space, a periodic configuration is a union of finitely many translations of a lattice. In particular, energy-minimizing periodic configurations are those which possess minimum energy. Finding energy-minimizing periodic configurations is an interesting problem, not only because of its theoretical significance in physics, but also its connection with the famous sphere packing problem. On the other hand, the search of energy-minimizing periodic configurations is notoriously difficult and very few theoretical results are known. Nevertheless, an insightful idea due to Cohn, Kumar, Reiher and Schurmann, enables us to study the energy-minimizing periodic configurations from a combinatorial viewpoint. Roughly speaking, among pairs of energy-minimizing periodic configurations, they revealed a remarkable symmetry named formal duality. Furthermore, they translated the formal duality into a purely combinatorial context, where the corresponding configuration was called a formally dual pair, which is a pair of subsets in a finite abelian group satisfying a subtle difference-set-like property. In this talk, we will give an overview and present some recent results of formally dual pairs, which involve constructions, nonexistence results and characterizations.

This is joint work with Alexander Pott and Robert Schuller.
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UBC Math
Wed 22 Jan 2020, 1:45pm
Mathematical Biology Seminar
ESB 4133
3D Modelling of Salivary Gland Invagination
Eric Foxall
Wed 22 Jan 2020, 3:15pm
Probability Seminar
ESB 4133
ESB 4133
Wed 22 Jan 2020, 3:15pm-4:15pm

Abstract

 
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Yakine Bahri
University of Victoria
Tue 28 Jan 2020, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
PIMS Lounge, ESB
TBA
PIMS Lounge, ESB
Tue 28 Jan 2020, 3:30pm-4:30pm

Abstract


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Thomas Hugh
UBC MATH
Fri 28 Feb 2020, 3:00pm
Department Colloquium
ESB 2012
Graduate Research Award: TBD
ESB 2012
Fri 28 Feb 2020, 3:00pm-3:50pm

Abstract


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UCLA
Tue 3 Mar 2020, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar / PIMS Seminars and PDF Colloquiums
TBA (the date/time is tentative)
TBA - PIMS distinguished visitor minicourse
TBA (the date/time is tentative)
Tue 3 Mar 2020, 3:30pm-4:30pm

Abstract

 
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UCLA
Thu 5 Mar 2020, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar / PIMS Seminars and PDF Colloquiums
TBA (the date/time is tentative)
TBA - PIMS distinguished visitor minicourse
TBA (the date/time is tentative)
Thu 5 Mar 2020, 3:30pm-4:30pm

Abstract

 
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Rebeca Cardim Falcao
UBC MATH
Fri 6 Mar 2020, 3:00pm
Department Colloquium
ESB 2012
Graduate Research Award: TBD
ESB 2012
Fri 6 Mar 2020, 3:00pm-3:50pm

Abstract


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UCLA
Tue 10 Mar 2020, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar / PIMS Seminars and PDF Colloquiums
TBA (the date/time is tentative)
TBA - PIMS distinguished visitor minicourse
TBA (the date/time is tentative)
Tue 10 Mar 2020, 3:30pm-4:30pm

Abstract

 
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Chen Wang
UBC MATH
Fri 13 Mar 2020, 3:00pm
Department Colloquium
ESB 2012
Graduate Research Award: TBD
ESB 2012
Fri 13 Mar 2020, 3:00pm-3:50pm

Abstract


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UBC MATH
Fri 20 Mar 2020, 3:00pm
Department Colloquium
ESB 2012
Graduate Research Award: TBD
ESB 2012
Fri 20 Mar 2020, 3:00pm-3:50pm

Abstract


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UBC MATH
Fri 27 Mar 2020, 3:00pm
Department Colloquium
ESB 2012
Graduate Research Award: TBD
ESB 2012
Fri 27 Mar 2020, 3:00pm-3:50pm

Abstract


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Max-Planck Institute for Evolutionary Biology
Wed 29 Apr 2020, 2:45pm
Mathematical Biology Seminar
ESB 4133
TBA
ESB 4133
Wed 29 Apr 2020, 2:45pm-3:45pm

Abstract

 
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Max-Planck Institute for Evolutionary Biology
Fri 1 May 2020, 3:00pm
Department Colloquium
ESB 2012
(PIMS/UBC distinguished colloquium) TBA
ESB 2012
Fri 1 May 2020, 3:00pm-4:00pm

Abstract

 
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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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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 9 Apr 2021, 3:00pm
Department Colloquium
ESB1012
PIMS-UBC Distinguished Colloquium
ESB1012
Fri 9 Apr 2021, 3:00pm-4:00pm

Abstract

 
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