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 Events
Galo Higuera Rojo
Mon 14 Apr 2014, 9:00am SPECIAL
One Time Event
Graduate Student Center, Room 203
Doctoral Exam
Graduate Student Center, Room 203
Mon 14 Apr 2014, 9:00am-11:00am

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Ryan Schwartz
Mon 14 Apr 2014, 12:30pm SPECIAL
One Time Event
Graduate Student Center, Room 203
Doctoral Exam
Graduate Student Center, Room 203
Mon 14 Apr 2014, 12:30pm-2:30pm

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Yale University.
Mon 14 Apr 2014, 4:00pm SPECIAL
Department Colloquium
MATX 1100
Right-angled Artin groups, braid groups, diffeomorphism groups, and hyperbolic manifolds
MATX 1100
Mon 14 Apr 2014, 4:00pm-5:00pm

Abstract

I will discuss some recent developments in hyperbolic geometry and geometric group theory, namely Agol's proof of the virtual Haken conjecture and Wise's theory of special groups, together with their relationship with right-angled Artin groups and mapping class groups. I will then discuss a new result which shows that every hyperbolic 3-manifold admits a finite cover whose fundamental group embeds into a braid group, and into the group of diffeomorphisms of the circle. Finally, I will exhibit some higher dimensional closed hyperbolic manifold subgroups of braid groups and of the diffeomorphism group of the circle. The research in this talk represents work joint with Hyungryul Baik and Sang-hyun Kim.
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Alex Tomberg and the Math Learning Centre Committee
Mathematics, UBC
Tue 15 Apr 2014, 2:00pm SPECIAL
One Time Event
MATH 126
MLC End-of-Term Meeting
MATH 126
Tue 15 Apr 2014, 2:00pm-4:00pm

Details

We will discuss the operations of the MLC this term, including attendance statistics and feedback from students and TAs. All are welcome to attend.
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Yale University
Tue 15 Apr 2014, 3:15pm SPECIAL
Topology and related seminars
ESB 4133
Anti-trees and right-angled Artin subgroups of planar braid groups
ESB 4133
Tue 15 Apr 2014, 3:15pm-4:15pm

Abstract

We discuss a result which shows that every right-angled Artin group quasi-isometrically embeds in a planar pure braid group. As a consequence, we obtain examples of quasi-isometrically embedded closed hyperbolic manifold subgroups of pure braid groups in all dimensions. We also give some applications to decision problems in braid group theory. This represents joint work with Sang-hyun Kim.
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Filip Rindler
University of Warwick
Tue 15 Apr 2014, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
Directional oscillations, concentrations, and compensated compactness via microlocal compactness forms
ESB 2012
Tue 15 Apr 2014, 3:30pm-4:30pm

Abstract

Microlocal compactness forms (MCFs) are a new tool to study oscillations and concentrations in L^p-bounded sequences of functions. Decisively, MCFs retain information about the location, value distribution, and direction of oscillations and concentrations, thus extending both the theory of (generalized) Young measures and the theory of H-measures. Since in L^p-spaces oscillations and concentrations precisely discriminate between weak and strong compactness, MCFs allow to quantify the difference between these two notions of compactness. The definition involves a Fourier variable, whereby also differential constraints on the functions in the sequence can be investigated easily. Furthermore, pointwise restrictions are reflected in the MCF as well, paving the way for applications to Tartar's framework of compensated compactness; consequently, we establish a new weak-to-strong compactness theorem in a "geometric" way. Moreover, the hierarchy of oscillations with regard to slow and fast scales can be investigated as well since this information is also is reflected in the generated MCF.
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