Workshop on Shrinking Target Properties

Workshop on Shrinking Target Properties

Jan 31-Feb 3 2008; Cambridge, MA

Brandeis University and the Clay Mathematics Institute


Organizing Committee

Jayadev Athreya (Princeton), Anish Ghosh (Texas), David Ellwood (CMI), Dmitry Kleinbock (Brandeis).


Participants

Jayadev Athreya (Princeton/Yale), Yitwah Cheung (San Fransisco State), Danijela Damjanovic (Harvard), Dmitry Dolgopyat (Maryland), Bassam Fayad (Paris-13), Lior Fishman (Ben-Gurion), Anish Ghosh, (Texas), Alexander Gorodnik (Princeton/Bristol), Alan Haynes (Brandeis), Dmitry Kleinbock (Brandeis), Jim Tseng (Brandeis), Corinna Ulcigrai (Bristol).


Overview and Location

The conference will open with a talk on Thursday, Jan 31st by Bassam Fayad at Brandeis in the Brandeis-Harvard-MIT-Northeastern Joint Mathematics Colloquium. We will have sessions at the Harvard Science Center (Room 232) on Friday, Feb 1st, and Sunday, Feb 3d, and be at CMI on Saturday, Feb 2nd. Throughout the weekend, we will have informal talks by the participants. Our main goal is to have significant amounts of time for discussions and interactions between the participants, in order to stimulate new research in the area.




Schedule

Thursday 01/31(Brandeis)

Brandeis-Harvard-MIT-Northeastern Colloquium by B.Fayad.

Friday 02/01(Harvard Science Center 232)

9:30-10:30 am 11:00 am-noon 1:30-2:30 pm 2:45-3:45 pm 4:30-5:30 pm
D.Dolgopyat

TBA

Y.Cheung

Slowly diverging trajectories in SL(3, R)/SL(3, Z)

D.Kleinbock

TBA

J.Tseng

Shrinking target properties for circle rotations

A.Haynes

TBA


Saturday 02/02 (Clay Mathematics Institute)

9:30-10:30 am 11:00-noon 1:30-2:30 pm 2:45-3:45 pm 4:30-5:30 pm
A.Gorodnik

Diophantine approximation on quadratic surfaces

J.Athreya

Logarithm laws for unipotent flows

C.Ulcigrai

Limit theorems for Birkhoff sums over rotations

L.Fishman

Schmidt games, linear forms, and fractals

A.Ghosh

Ultrametric logarithm laws


Sunday 02/03 Discussions.