dr. Bershtein's seminar at SISSA

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT

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Mikhail Bershtein

Title: q-deformed Painleve tau function and q-deformed conformal blocks

Abstract:We propose q-deformation of the Gamayun-Iorgov-Lisovyy formula 
for Painleve tau function.
Namely we propose formula for tau function for q-difference Painleve 
equation corresponding to A^(1)_7 surface (and A^(1)_1 symmetry) in 
Sakai classification. In this formula tau function equals the series of 
q-Virasoro Whittaker conformal blocks (equivalently Nekrasov partition 
functions for pure SU(2) 5d theory).

Tau functions of q-difference Painleve equation should be consistent 
with the action of symmetry
group of the equation. For our formula this reduces to (conjectural) 
bilinear relations on Nekrasov
partition functions and fiber-base duality of topological vertex.


Venue: SISSA, Wednesday 15 June at 2 pm in lecture room 134