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Infinite Analysis Seminar Tokyo
Seminar information archive ～04/25｜Next seminar｜Future seminars 04/26～
| Date, time & place | Saturday 13:30 - 16:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|
2019/12/17
15:00-16:00 Room #駒場国際教育研究棟（旧６号館）108 (Graduate School of Math. Sci. Bldg.)
Ryo Ohkawa (Waseda University)
(-2) blow-up formula (JAPANESE)
Ryo Ohkawa (Waseda University)
(-2) blow-up formula (JAPANESE)
[ Abstract ]
In this talk, we will consider the moduli of ADHM data
corresponding to the affine A_1 Dynkin diagram.
It is a moduli of framed sheaves on the (-2) curve or the projective
plane with a group action.
Each of these two types of moduli integrals has a combinatorial
description. In particular, the Hirota derivative of the Nekrasov
function can be obtained on the (-2) curve.
We introduce equalities among these two integrals and the
corresponding functional equations in some cases.
This is similar to the blow-up formula by Nakajima-Yoshioka.
I would also like to talk about relationships with the study of the
Painleve tau function by Bershtein-Shchechkin.
In this talk, we will consider the moduli of ADHM data
corresponding to the affine A_1 Dynkin diagram.
It is a moduli of framed sheaves on the (-2) curve or the projective
plane with a group action.
Each of these two types of moduli integrals has a combinatorial
description. In particular, the Hirota derivative of the Nekrasov
function can be obtained on the (-2) curve.
We introduce equalities among these two integrals and the
corresponding functional equations in some cases.
This is similar to the blow-up formula by Nakajima-Yoshioka.
I would also like to talk about relationships with the study of the
Painleve tau function by Bershtein-Shchechkin.
