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Geometry and Topology


Geometry and Topology Seminar

Warwick Mathematics Institute, Term II, 2018-2019

Please contact Saul Schleimer if you would like to speak or to suggest a speaker.


Thursday January 10, 15:00, room MS.03

None (None)

None

Abstract: None


Thursday January 17, 15:00, room MS.03

Artem Dudko (IMPAN, Warsaw)

On computational complexity of Cremer Julia sets

Abstract: Informally speaking, a compact subset of a plane is called computable if there is an algorithm which can draw arbitrarily good approximations of this set. Computational complexity measures how long does it take to draw these approximations. It is known that for some classes of rational maps (e.g. hyperbolic, parabolic and Collet-Eckmann) the Julia sets have polynomial complexity. For others (e.g. Siegel) the Julia sets can have arbitrarily high computational complexity and even may be uncomputable. However, not much is known in the case of presence of Cremer periodic points. We show that there exist abundant Cremer quadratic polynomials with Julia sets of arbitrarily high complexity. The talk is based on a joint work with Michael Yampolsky.


Thursday January 24, 15:00, room MS.03

Dmitry Jakobson (McGill)

On small gaps in the length spectrum

Abstract: We discuss upper and lower bounds for the size of gaps in the length spectrum of negatively curved manifolds. For manifolds with algebraic generators for the fundamental group, we establish the existence of exponential lower bounds for the gaps. On the other hand, we show that the existence of arbitrary small gaps is topologically generic: this is established both for surfaces of constant negative curvature, and for the space of negatively curved metrics. While arbitrary small gaps are topologically generic, it is plausible that the gaps are not too small for almost every metric; we discuss one result. This is joint work with Dima Dolgopyat.


Thursday January 31, 15:00, room MS.03

TBA (TBA)

TBA

Abstract: TBA


Thursday February 7, 15:00, room MS.03

TBA (TBA)

TBA

Abstract: TBA


Thursday February 14, 15:00, room MS.03

Raphael Zentner (Regensburg)

TBA

Abstract: TBA


Thursday February 21, 15:00, room MS.03

Montse Casals (Basque Country)

TBA

Abstract: TBA


Thursday February 28, 15:00, room MS.03

TBA (TBA)

TBA

Abstract: TBA


Thursday March 7, 15:00, room MS.03

TBA (TBA)

TBA

Abstract: TBA


Thursday March 14, 15:00, room MS.03

TBA (TBA)

TBA

Abstract: TBA


Information on past talks. This line was last edited 2019-01-11.

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See also:
Mathematics Research Centre
Mathematical Interdisciplinary Research at Warwick (MIR@W)
Past Events 
Past Symposia 

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