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Speaker:

Hans Jockers
Affiliation:

BCTP Bonn
Date:

Thu, 2017-11-30 09:00 - 10:00
Location:

MPIM Lecture Hall We discuss the computation of normal functions between the van Geemen lines on the mirror quintic

Calabi-Yau threefold in a certain semi-stable degeneration limit. In this limit the normal functions are

described as elements of higher Chow groups. Physically this amounts to computing the domain wall

tension between certain B-branes on the mirror quintic in the large complex structure limit. By mirror

symmetry we expect that these normal functions/domain wall tensions have a geometric meaning on the

quintic Calabi-Yau threefold for suitable A-branes. As we discuss, the number theoretic structure of the

computed normal functions indicates that the relevant A-branes correspond to hyperbolic $3$-manifolds.

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