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Banff International Research Station for Mathematical Innovation and Discovery
Michaud, Nicholas Postdoctoral Non UBC Unreviewed Author affiliation: University of California, Berkeley http://creativecommons.org/licenses/by-nc-nd/4.0/
UBC cIRcle BIRS Workshop Lecture Videos Logo
Banff International Research Station for Mathematical Innovation and Discovery
Ludwig, Monika Faculty Non UBC Unreviewed Author affiliation: Technische Universität München http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
UBC cIRcle BIRS Workshop Lecture Videos Logo
Banff International Research Station for Mathematical Innovation and Discovery
Ryabogin, Dmitry Non UBC Unreviewed Author affiliation: Kent State University Faculty http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
UBC cIRcle BIRS Workshop Lecture Videos Logo
Banff International Research Station for Mathematical Innovation and Discovery
Colesanti, Andrea Faculty Non UBC Unreviewed Author affiliation: University of Florence http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
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Banff International Research Station for Mathematical Innovation and Discovery
Hiptmair, Ralf Non UBC Unreviewed Author affiliation: Swiss Federal Institute of Technology-Zuerich Faculty http://creativecommons.org/licenses/by-nc-nd/4.0/
UBC cIRcle BIRS Workshop Lecture Videos Logo
Banff International Research Station for Mathematical Innovation and Discovery
Mori, Izuru Faculty Author affiliation: Shizuoka University Unreviewed Non UBC This talk is based on a joint work with S. P. Smith. AS-regular algebras is an important class of algebras to study in noncommutative algebraic geometry. If S is an m-Koszul AS-regular algebra, then it was observed by several people that S is determined by a twisted superpotential. In this talk, we will see that such a twisted superpotential is uniquely determined by S up to non-zero scalar multiples and plays a crucial role in studying S. In particular, we will see in this talk that, using the twisted superpotential w_S associated to S, we can compute (1) the Nakayama automorphism of S, (2) a graded algebra automorphism of S, and (3) the homological determinant of a graded algebra automorphism of S (which is an essential ingredient for invariant theory of an AS-regular algebra). If time permits, we will present some applications to 3-dimensional noetherian Calabi-Yau algebras (which is partially based on a joint work with K. Ueyama). http://creativecommons.org/licenses/by-nc-nd/4.0/
UBC cIRcle BIRS Workshop Lecture Videos Logo
Banff International Research Station for Mathematical Innovation and Discovery
Pantone, Jay Non UBC Unreviewed Author affiliation: Dartmouth College Postdoctoral http://creativecommons.org/licenses/by-nc-nd/4.0/
UBC cIRcle BIRS Workshop Lecture Videos Logo
Banff International Research Station for Mathematical Innovation and Discovery
Geyer, Anna In this talk we are concerned with the wave length $\lambda$ of smooth periodic traveling wave solutions of the Camassa-Holm equation. The set of these solutions can be parametrized using the wave height $a$. Our main result establishes monotonicity properties of the map $a\mapsto \lambda(a)$ i.e., the wave length as a function of the wave height. We obtain the explicit bifurcation values, in terms of the parameters associated with the equation, which distinguish between the two possible qualitative behaviours of $\lambda(a)$, namely monotonicity and unimodality. The key point is to relate $\lambda(a)$ to the period function of a planar differential system with a quadratic-like first integral, and to apply a criterion which bounds the number of critical periods for this type of systems. Non UBC Unreviewed Author affiliation: University of Vienna Postdoctoral http://creativecommons.org/licenses/by-nc-nd/4.0/
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Banff International Research Station for Mathematical Innovation and Discovery
Mitsche, Dieter Unreviewed Researcher Non UBC Author affiliation: Universite de Nice Sophia-Antipolis http://creativecommons.org/licenses/by-nc-nd/4.0/
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Banff International Research Station for Mathematical Innovation and Discovery
Dettmann, Carl Faculty Non UBC Unreviewed Author affiliation: The University of Bristol http://creativecommons.org/licenses/by-nc-nd/4.0/
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Banff International Research Station for Mathematical Innovation and Discovery
Voiculescu, Dan The talk will be about extreme values in free probability and the beginning of an extension to bi-free probability, that is to free probability with left and right variables. Non UBC Unreviewed Author affiliation: University of California, Berkeley Researcher http://creativecommons.org/licenses/by-nc-nd/4.0/
UBC cIRcle BIRS Workshop Lecture Videos Logo
Banff International Research Station for Mathematical Innovation and Discovery
d'Aspremont, Alexandre Faculty Unreviewed Author affiliation: CNRS -ENS Non UBC http://creativecommons.org/licenses/by-nc-nd/4.0/
UBC cIRcle BIRS Workshop Lecture Videos Logo
Banff International Research Station for Mathematical Innovation and Discovery
Roberts, Rachel I will describe a construction of (codimension one) co-oriented taut foliations (CTFs) of 3-manifolds. It follows from this construction that if K is a composite, alternating, or Montesinos knot, then the L-space conjecture of Ozsvath and Szabo holds for any 3-manifold obtained by Dehn surgery along K. I will focus on the alternating knot case. This work is joint with Charles Delman. Non UBC Unreviewed Author affiliation: Washington University Faculty http://creativecommons.org/licenses/by-nc-nd/4.0/
UBC cIRcle BIRS Workshop Lecture Videos Logo
Banff International Research Station for Mathematical Innovation and Discovery
Zhou, Jiazu Non UBC Unreviewed Author affiliation: Southwest University Faculty http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
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Banff International Research Station for Mathematical Innovation and Discovery
Xiao, Jie Non UBC Unreviewed Author affiliation: Memorial University of Newfoundland Faculty http://creativecommons.org/licenses/by-nc-nd/2.5/ca/

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