Posted in
Speaker:
Hans Jockers
Affiliation:
BCTP Bonn
Date:
Thu, 30/11/2017 - 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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