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| == Spring 2011 ==
| |
|
| |
|
| {| cellpadding="8"
| |
| !align="left" | date
| |
| !align="left" | speaker
| |
| !align="left" | title
| |
| !align="left" | host(s)
| |
| |-
| |
| |jan 21
| |
| |[http://www.math.uni-bonn.de/people/macri/ Emanuele Macri] (University of Bonn)
| |
| |''Stability conditions and Bogomolov-type inequalities in higher dimension''
| |
| |Andrei Caldararu
| |
| |-
| |
| |jan 28
| |
| |[http://math.berkeley.edu/~mroper/www/Home.html Marcus Roper] (Berkeley)
| |
| |''Modeling microbial cooperation''
| |
| |Paul Milewski
| |
| |-
| |
| |'''jan 31, 2:30pm, room 901'''
| |
| |[http://math.arizona.edu/~noni/ Ana-Maria Castravet] (Arizona)
| |
| |''Hypertrees and moduli spaces of stable rational curves''
| |
| |Andrei
| |
| |-
| |
| |feb 4
| |
| |[http://www.math.columbia.edu/~yxy/ Xinyi Yuan] (Columbia University)
| |
| |''Equidistribution in algebraic dynamics''
| |
| |Tonghai
| |
| |-
| |
| |feb 11
| |
| |[http://www.math.uic.edu/~cschnell/ Christian Schnell] (U. Illinois at Chicago)
| |
| |''On the locus of Hodge classes and its generalizations''
| |
| |Andrei
| |
| |-
| |
| |feb 25
| |
| |[http://www.math.psu.edu/sarig/ Omri Sarig] (Penn State and Weizmann Institute)
| |
| |''Measure rigidity for dynamical systems on (very) non-compact spaces''
| |
| |Shamgar
| |
| |-
| |
| |mar 4
| |
| |[http://atoc.colorado.edu/people/weiss/ Jeff Weiss] (Colorado)
| |
| |''Nonequilibrium Statistical Mechanics and Climate Variability''
| |
| |Jean-Luc
| |
| |-
| |
| |mar 11
| |
| |[http://www.math.yale.edu/public_html/People/Howe.html Roger Howe] (Yale)
| |
| |''Hibi Rings in Invariant Theory''
| |
| |Shamgar
| |
| |-
| |
| |'''mar 22, Tue'''
| |
| |[http://as.nyu.edu/object/SylvainCappell.html Sylvain Cappell] (Courant, NYU)
| |
| |''Compact aspherical manifolds whose fundamental groups have center''
| |
| |Laurentiu
| |
| |-
| |
| |mar 25
| |
| |[http://math.arizona.edu/~tiep/ Pham Huu Tiep] (Arizona)
| |
| |''Representations of finite simple groups and applications''
| |
| |Martin Isaacs
| |
| |-
| |
| |apr 1
| |
| |[http://www.wcer.wisc.edu/people/staff.php?sid=334 Amy Ellis] (Madison)
| |
| |''Do algebra students need a reality check? How quantitative reasoning can support function understanding.''
| |
| |Steffen
| |
| |-
| |
| |apr 8
| |
| |[http://math.berkeley.edu/~alanw/ Alan Weinstein] (Berkeley)
| |
| |''Symplectic and Quantum Categories''
| |
| |Yong-Geun
| |
| |-
| |
| |apr 15
| |
| |[http://people.sc.fsu.edu/~mgunzburger/ Max Gunzburger] (Florida State)
| |
| |''A nonlocal vector calculus and finite element methods for nonlocal diffusion and mechanics''
| |
| |James Rossmanith
| |
| |-
| |
| |'''apr 21, Thu'''
| |
| |[http://www.math.unc.edu/Faculty/jhawkins/ Jane Hawkins] (U. North Carolina)
| |
| |''Dynamical properties and parameter space of elliptic functions''
| |
| |WIMAW (Diane Holcomb)
| |
| |-
| |
| |apr 29
| |
| |[http://www.math.purdue.edu/people/bio/wlodar Jaroslaw Wlodarczyk] (Purdue)
| |
| |''Algebraic Morse Theory and factorization of birational maps''
| |
| |Laurentiu
| |
| |-
| |
| |'''may 2, Mon'''
| |
| |[http://www.cs.berkeley.edu/~oholtz/ Olga Holtz] (Berkeley)
| |
| |''On complexity of linear problems''
| |
| |'''LAA Lecture''' (Shamgar)
| |
| |-
| |
| |may 6
| |
| |[http://math.mit.edu/~aizenr/index.html Rami Aizenbud] (MIT)
| |
| |''Gelfand pairs and Invariant distributions''
| |
| |Shamgar
| |
| |}
| |
|
| |
|
| == Abstracts == | | == Abstracts == |
Mathematics Colloquium
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated.
Fall 2011
| date
|
speaker
|
title
|
host(s)
|
| Sep 30
|
Alex Kontorovich (Yale)
|
On Zaremba's Conjecture
|
Shamgar
|
| oct 19, Wed
|
Bernd Sturmfels (UC Berkeley)
|
TBA
|
distinguished lecturer
|
| oct 20, Thu
|
Bernd Sturmfels (UC Berkeley)
|
TBA
|
distinguished lecturer
|
| oct 21
|
Bernd Sturmfels (UC Berkeley)
|
TBA
|
distinguished lecturer
|
| oct 28
|
Peter Constantin (University of Chicago)
|
TBA
|
distinguished lecturer
|
| oct 31, Mon
|
Peter Constantin (University of Chicago)
|
TBA
|
distinguished lecturer
|
| nov 18
|
Robert Dudley (University of California, Berkeley)
|
From Gliding Ants to Andean Hummingbirds: The Evolution of Animal Flight Performance
|
Jean-Luc
|
| dec 9
|
Xinwen Zhu (Harvard University)
|
TBA
|
Tonghai
|
Abstracts
Alex Kontorovich (Yale)
On Zaremba's Conjecture
It is folklore that modular multiplication is "random". This concept is useful for many applications, such as generating pseudorandom sequences, or in quasi-Monte Carlo methods for multi-dimensional numerical integration. Zaremba's theorem quantifies the quality of this "randomness" in terms of certain Diophantine properties involving continued fractions. His 40-year old conjecture predicts the ubiquity of moduli for which this Diophantine property is uniform. It is connected to Markoff and Lagrange spectra, as well as to families of "low-lying" divergent geodesics on the modular surface. We prove that a density one set satisfies Zaremba's conjecture, using recent advances such as the circle method and estimates for bilinear forms in the Affine Sieve, as well as a "congruence" analog of the renewal method in the thermodynamical formalism. This is joint work with Jean Bourgain.