Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Hans Jockers
Affiliation:

BCTP Bonn
Date:

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

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/YRSM2017