у нас тут, кстати, вот это идет

Monday, 17:00, June 19, 2017: Mahan Mj. (Tata Institute)
Cannon-Thurston maps and Kleinian groups (1)

Let M be a closed hyperbolic 3-manifold fibering over the
circle with fiber a closed surface S. The inclusion of S
into M lifts to a map between universal covers \tilde{S}
and \tilde{M}. In the early 80's Cannon and Thurston
showed that this inclusion extends to a continuous map
between their compactifications: namely the 2-disk and the
3-ball. This gives rise to a space-filling (Peano) curve
from the circle onto the 2-sphere, equivariant under the
action of the fundamental group of S. This led Thurston to
the following questions.

1) Is this a general phenomenon for finitely generated
discrete subgroups of the isometry group of hyperbolic
3-space?

2) How does this map behave with respect to sequences of
representations?

In the first lecture I shall survey an affirmative answer
to Question 1. In the second, I shall give a review of
work (joint in parts with C. Series and K. Ohshika)
leading to a resolution of Q. 2.

Wednesday, 17:00, June 21, 2017: Mahan Mj. (Tata Institute)
Cannon-Thurston maps and Kleinian groups (2)

Friday, June 23, 2017: Mahan Mj. (Tata Institute)
Cannon-Thurston maps in Geometric Group Theory

Let M be a closed hyperbolic 3-manifold fibering over the
circle with fiber a closed surface S. The inclusion of S
into M lifts to a map between universal covers \tilde{S}
and \tilde{M}. In the early 80's Cannon and Thurston
showed that this inclusion extends to a continuous map
between their compactifications: namely the 2-disk and the
3-ball. This can be extended to a considerably broader
framework in the context of (Gromov) hyperbolic groups.
I shall survey some of the developments in this broader
context.

17:00, комната 306, понедельник 19, среда 21, пятница 23 июня.

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