Next Talk

Speaker: Daniel Stein
Title: Order, Disorder, Symmetry and Complexity
Date and time: April 25, 1:00 p.m. (light refreshments at 12:45 p.m.)
Venue: WWH 1302

Abstract

One of the deepest scientific questions we can ask is, How might complexity arise? That is, starting from simple, undirected processes subject to physical and chemical laws, how could structures with complex shapes and patterns arise, and even more perplexing, what processes could give rise to living cells, and how might they then organize themselves into complex organisms, leading ultimately to such things as brains, consciousness, and societies? We are far from answering these questions at almost any level, but they have attracted increasing attention in the scientific community, and some initial headway has been made. The basic problem can be reframed as one involving the self-organization of microscopic constituents into larger assemblies, in such a way that the process leads to an increase of information, the creation of new patterns, and eventually increasing hierarchical levels of complex structure. The key to understanding these processes cannot be found in any single (natural or social) scientific field but rather in collaborations that cross many disciplinary boundaries.Although we are still at the initial stages of inquiry, new and interesting approaches and points of view have arisen. In this talk I present one that arises from the point of view of physics. We start by describing the (well-understood) phenomenon of matter organizing itself into simple ordered structures, like crystals and magnets, and then explore how our ideas are affected when we consider the effects of randomness and disorder, pervasive in the physical world. We will see that randomness and disorder are, paradoxically, essential for more ordered, complex structures to arise. Using these ideas, we provide some hints (but only hints) as to how we can gain a handle on issues related to the increase of complexity. Underlying all of our considerations is the notion of symmetry in physics: where it comes from and how matter "breaks" its inherent symmetry to create new information and ever-increasing complexity.

About this seminar

This seminar is meant to benefit young mathematicians, particularly graduate students and postdocs.
It aims to accomplish the following: The research talks should be fairly introductory and accessible to students and non-specialists in the audience.

Schedule Spring 2014

January 31

Speaker: Miles Crosskey, Duke University
Title:Learning and Fast Simulation of Intrinsically Low-Dimensional Stochastic Dynamical Systems in High Dimensions
Abstract

February 14

Speaker: Michael L. Overton
Title:Investigation of Crouzeix's Conjecture via Optimization
Abstract

March 14

Speaker: Pierre Germain
Title:The Mathematics and Physics of weak turbulence
Abstract

March 28

Speaker: Katherine Newhall
Title:Dynamics of ferromagnets: averaging methods, bifurcation diagrams, and thermal noise effects
Abstract

April 4

Speaker: Mehryar Mohri
Title:Multiple-Source Adaptation Problem
Abstract

April 18

Speaker: Zahra Sinaei
Title:Convergence of harmonic maps
Abstract

April 25

Speaker: Daniel Stein
Title:Order, Disorder, Symmetry and Complexity
Abstract

May 2

Speaker: Leslie Greengard
Title:TBA
Abstract

Contact Info

If you would like to give a talk or ask a question about the seminar, please contact one of the seminar organizers:

Aukosh Jagannathaukosh [at] cims [dot] nyu [dot] edu
Irena Vankovavankova [at] cims [dot] nyu [dot] edu
Klaus Widmayerklaus [at] cims [dot] nyu [dot] edu

Previous semesters

Fall 2013 schedule

Spring 2013 schedule

Fall 2012 schedule

Spring 2013 schedule

Fall 2011 schedule

Spring 2011 schedule

Descriptions of earlier talks are here.

Department of Mathematics
Courant Institute of Mathematical Sciences
New York University
251 Mercer St.
New York, NY 10012