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Current Events Bulletin

Introduction to the Current Events Bulletin

Will the Riemann Hypothesis be proved this week? What is the Geometric Langlands Conjecture about? How could you best exploit a stream of data flowing by too fast to capture? I love the idea of having an expert explain such things to me in a brief, accessible way. I think we mathematicians are provoked to ask such questions by our sense that underneath the vastness of mathematics is a fundamental unity allowing us to look into many different corners -- though we couldn't possibly work in all of them. And I, like most of us, love common-room gossip.

The Current Events Bulletin Session at the Joint Mathematics Meetings, begun in 2003, is an event where the speakers do not report on their own work, but survey some of the most interesting current developments in mathematics, pure and applied. The wonderful tradition of the Bourbaki Seminar is an inspiration, but we aim for more accessible treatments and a wider range of subjects. I've been the organizer of these sessions since they started, but a broadly constituted advisory committee helps select the topics and speakers. Excellence in exposition is a prime consideration.

A written exposition greatly increases the number of people who can enjoy the product of the sessions, so speakers are asked to do the hard work of producing such articles. These are made into a booklet distributed at the meeting. Speakers are then invited to submit papers based on them to the Bulletin of the AMS, and this has led to many fine publications.

I hope you'll enjoy the papers produced from these sessions, but there's nothing like being at the talks -- don't miss them!

David Eisenbud, Organizer
University of California, Berkeley
de@math.berkeley.edu

 

Sessions, Speakers, Booklets and links to Bulletin of the AMS Papers

 

January 15, 2010 (San Francisco, CA)  (booklet produced for meetingThis is a PDF document 2.6 MB)
Ben J. Green
University of Cambridge, UK
Approximate groups and their applications: work of Bourgain, Gamburd, Helgott and Sarnak
David G. Wagner
University of Waterloo
Multivariate stable polynomials: theory and applications

Laura DeMarco
University of Illinois at Chicago
The conformal geometry of billiards

Michael Hopkins
Harvard University
On the Kervaire Invariant Problem

 

 

January 7, 2009 (Washington, DC)  (booklet produced for meetingThis is a PDF document 2.8 MB)

Matthew James Emerton
Northwestern University
Topology, representation theory and arithmetic: Three-manifolds and the Langlands program

Olga Holtz
University of California, Berkeley
Compressive sensing: A paradigm shift in signal processing

Michael Hutchings
University of California, Berkeley
From Seiberg-Witten theory to closed orbits of vector fields: Taubes's proof of the Weinstein conjecture

Frank Sottile
Texas A & M University
Frontiers of reality in Schubert calculus

 

 

January 8, 2008 (San Diego, California)  (booklet produced for meetingThis is a PDF document 2.7 MB)

Günther Uhlmann
University of Washington
Invisibility
http://www.ams.org/bull/2009-46-01/S0273-0979-08-01232-9/home.html

Antonella Grassi
University of Pennsylvania
Birational Geometry: Old and New 
http://www.ams.org/bull/2009-46-01/S0273-0979-08-01233-0/home.html

Gregory F. Lawler
University of Chicago
Conformal Invariance and 2-d Statistical Physics
http://www.ams.org/bull/2009-46-01/S0273-0979-08-01229-9/home.html

Terence C. Tao
University of California, Los Angeles
Why are Solitons Stable?
http://www.ams.org/bull/2009-46-01/S0273-0979-08-01228-7/home.html

 

 

January 7, 2007 (New Orleans, Louisiana) (booklet produced for meetingThis is a PDF document 2.8 MB)
Robert Ghrist
University of Illinois
Barcodes: The Persistent Topology of Data
http://www.ams.org/bull/2008-45-01/S0273-0979-07-01191-3/

Akshay Venkatesh
Courant Institute, New York University
Flows on the Space of Lattices: work of Einsiedler, Katok and Lindenstrauss
http://www.ams.org/bull/2008-45-01/S0273-0979-07-01194-9/
 

Izabella Laba
University of British Columbia
From Harmonic Analysis to Arithmetic Combinatorics
http://www.ams.org/bull/2008-45-01/S0273-0979-07-01189-5/

Barry Mazur
Harvard University
The Structure of Error Terms in Number-Theory
and an Introduction to the Sato-Tate Conjecture
http://www.ams.org/bull/2008-45-02/S0273-0979-08-01207-X/home.html

 

 

January 14, 2006 (San Antonio, Texas) (booklet produced for meetingThis is a PDF document 2.4 MB)
Lauren Ancel Myers
University of Texas at Austin
Contact network epidemiology:; Bond percolation applied to infectious disease prediction and control
http://www.ams.org/bull/2007-44-01/S0273-0979-06-01148-7/home.html

Kannan Soundararajan
University of Michigan, Ann Arbor
Small gaps between prime numbers
http://www.ams.org/bull/2007-44-01/S0273-0979-06-01142-6/home.html;

Madhu Sudan
MIT
Probabilistically checkable proofs
http://www.ams.org/bull/2007-44-01/S0273-0979-06-01143-8/home.html

Martin Golubitsky
University of Houston
Symmetry in neuroscience

 

 

January 7, 2005 (Atlanta, Georgia) (booklet produced for meetingThis is a PDF document 3 MB)
Bryna Kra
Northwestern University
The Green-Tao Theorem on primes in arithmetic progression:; A dynamical point of view
http://www.ams.org/bull/2006-43-01/S0273-0979-05-01086-4/home.html

Robert McEliece
California Institute of Technology
Achieving the Shannon Limit:; A progress report

Dusa McDuff
SUNY at Stony Brook
Floer theory and low dimensional topology
http://www.ams.org/bull/2006-43-01/S0273-0979-05-01080-3/home.html

Jerrold Marsden and Shane Ross
California Institute of Technology
New methods in celestial mechanics and mission design
http://www.ams.org/bull/2006-43-01/S0273-0979-05-01085-2/home.html

László Lovász
Microsoft Corporation
Graph minors and the proof of Wagner's conjecture
http://www.ams.org/bull/2006-43-01/S0273-0979-05-01088-8/home.html

 

 

January 9, 2004 (Phoenix, Arizona) (booklet produced for meetingThis is a PDF document 1.1 MB)
Margaret H. Wright
Courant Institute of Mathematical Sciences, New York University
The interior-point revolution in optimization:; History, recent developments and lasting consequences
http://www.ams.org/bull/2005-42-01/S0273-0979-04-01040-7/home.html

Thomas C. Hales
University of Pittsburgh
What is motivic integration?
http://www.ams.org/bull/2005-42-02/S0273-0979-05-01053-0/home.html

Andrew Granville
Université de Montréal
It is easy to determine whether or not a given integer is prime
http://www.ams.org/bull/2005-42-01/S0273-0979-04-01037-7/home.html

John W. Morgan
Columbia University
Perelman's recent work on the classification of 3-manifolds
http://www.ams.org/bull/2005-42-01/S0273-0979-04-01045-6/home.html

 

 

January 17, 2003 (Baltimore, Maryland) (no booklet produced for meeting)
Michael J. Hopkins
MIT
Homotopy theory of schemes

Ingrid Daubechies
Princeton University
Sublinear algorithms for sparse approximations with excellent odds

Edward Frenkel
University of California, Berkeley
Recent advances in the Langlands Program
http://www.ams.org/bull/2004-41-02/S0273-0979-04-01001-8/home.html

Daniel Tataru
University of California, Berkeley
The wave maps equation
http://www.ams.org/bull/2004-41-02/S0273-0979-04-01005-5/home.html