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DTSTAMP:20180123T074446Z
UID:bcd79d78-3e9a-4cc3-9c0a-8e4146f35973
DTSTART:20170223T151500
DTEND:20170223T161500
DESCRIPTION:Partition functions of vertex models with domain-wall boundarie
s have appeared in a variety of contexts ranging from enumerative combinato
rics to the study of gauge theories. The six-vertex 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 si
ngle determinant. Such representation has led to a number of developments i
n the field but seemed to be restricted to the six-vertex model. The next n
atural candidate for this study is the elliptic gl2 Solid-on-Solid (SoS) mo
del but\, despite all efforts\, the results suggested single determinantal
representations did not exist. This problem has only been recently solved w
ith the help of special functional equations originating from the dynamical
version of the Yang-Baxter algebra. In this talk I will discuss this probl
em and show how families of single determinantal representations for the el
liptic SoS model's partition function can be derived in a constructive mann
er.
LOCATION:ETH Zürich\, Hönggerberg HG G 43
ORGANIZER:
SUMMARY:Partition function of the elliptic gl_{2} SoS model as a si
ngle determinant
URL:https://www.math.ethz.ch/news-and-events/events/research-seminars/talks
-in-mathematical-physics.html
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