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Speaker:

Alexey Kokotov
Affiliation:

Concordia University/MPI
Date:

Tue, 2017-10-17 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics Let $f$ be a meromorphic function on a compact Riemann surface $X$ and let $m$ be the standard round

metric of curvature $1$ on the Riemann sphere. Then the pullback $f^*m$ of $m$ under $f$ is a metric on

$X$ of curvature $1$ with conical singularities at the critical points of $f$. We study the $\zeta$-regularized

determinant of the Laplace operator on $X$ corresponding to the metric $f^*m$ as a functional on the moduli

space of pairs $(X, f)$ and derive an explicit formula for the functional. The talk is based on the joint work

with V. Kalvin (Concordia University).

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