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Spring Semester 2017
Note: The highlighted event marks the next occurring event and events marked with an asterisk (*) indicate that the time and/or location are different from the usual time and/or location.
Date / Time  Speaker  Title  Location  

23 February 2017 15:1516:15 
Wellington Galleas ETH Zurich 
Partition function of the elliptic gl_{2} SoS model as a single determinant  HG G 43  
Abstract: Partition functions of vertex models with domainwall boundaries have appeared in a variety of contexts ranging from enumerative combinatorics to the study of gauge theories. The sixvertex model is the prototype model where such boundary conditions were adopted and, in that case, the model's partition function admits a compact representation in terms of a single determinant. Such representation has led to a number of developments in the field but seemed to be restricted to the sixvertex model. The next natural candidate for this study is the elliptic gl_{2} SolidonSolid (SoS) model but, despite all efforts, the results suggested single determinantal representations did not exist. This problem has only been recently solved with the help of special functional equations originating from the dynamical version of the YangBaxter algebra. In this talk I will discuss this problem and show how families of single determinantal representations for the elliptic SoS model's partition function can be derived in a constructive manner.  
2 March 2017 15:1516:15 
Alexander Veselov Loughborough University 
Lyapunov spectrum for Markov dynamics and hyperbolic structures  HG G 43  
Abstract: We study the Lyapunov exponents Λ(x) for Markov dynamics as a function of path determined by x ∈ RP^{1} on a binary planar tree, describing the growth of Markov triples and their ``tropical" version  Euclid triples. We show that the corresponding Lyapunov spectrum is [0, ln φ], where φ is the golden ratio, and prove that on the set X of the most irrational numbers the corresponding function Λ_{X} is convex and strictly monotonic. The key step is using the relation of Markov numbers with hyperbolic structures on punctured torus, going back to D. Gorshkov and H. Cohn, and, more precisely, the recent result by V. Fock, who combined this with Thurston’s lamination ideas. The talk is based on joint work with K. Spalding.  
*
9 March 2017 14:1515:15 
Ping Xu Penn State 
Formality theorem and KontsevichDuflo theorem for Lie pairs  HG G 19.1  
Abstract: A Lie pair (L,A) consists of a Lie algebra (or more generally, a Lie algebroid) L together with a Lie subalgebra (or Lie subalgebroid) A. A wide range of geometric situations can be described in terms of Lie pairs including complex manifolds, foliations, and manifolds equipped with Lie group actions. To each Lie pair (L,A) are associated two Linfinity algebras, which play roles similar to the spaces of polyvector fields and polydifferential operators. We establish the formality theorem for Lie pairs. As an application, we obtain KontsevichDuflo type theorem for Lie pairs. Besides using Kontsevich formality theorem, our approach is based on the construction of a dg manifold (L[1] + L/A, Q) together with a dg foliation, called the Fedosov dg Lie algebroid. This is a joint work with HsuanYi Liao and Mathieu Stienon.  
16 March 2017 15:1516:15 
Ben Kohli 
Title T.B.A.  HG G 43  
30 March 2017 14:1515:15 
Robert Seiringer 
Title T.B.A.  tba  
6 April 2017 15:1516:15 
Dev Sinha 
Title T.B.A.  HG G 43 
Archive: SS 17 AS 16 SS 16 AS 15 SS 15 AS 14 SS 14 AS 13 SS 13 AS 12 SS 12 AS 11
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