## Programs & Events

##### Low-dimensional Topology, Geometry, and Dynamics

Sep 9 - Dec 6, 2013

The program focuses on the recent impact of computation and experiment on the study of the pure mathematics sides of topology, geometry, and dynamics. Specific areas include 3-dimensional topology, the study of locally symmetric spaces, low-dimensional dynamics, and geometric group theory. Included are areas where computation has not yet had an impact, but might do so in the near future.

##### Organizing Committee

- Marc Culler
- Nathan Dunfield
- Walter Neumann
- Richard Schwartz
- Caroline Series
- Dylan Thurston
- Genevieve Walsh
- Anton Zorich

##### Exotic Geometric Structures

Sep 15 - 20, 2013

This workshop will focus on recent advances in the study of geometric structures and their associated group representations. As well as featuring hyperbolic structures, the workshop will also consider more exotic structures, such as projective structures, complex hyperbolic and spherical CR-structures and locally homogeneous space-times. A related focus includes aspects of coarse or non-positively curved geometry such as Gromov hyperbolic spaces and CAT(0) complexes. We will explore the interaction between experimental evidence and rigorous proof.

##### Organizing Committee

- William Goldman
- John Parker
- Richard Schwartz
- Caroline Series
- Genevieve Walsh

##### MPE2013 Simons Public Lecture by L. Mahadevan - On Growth and Form: Mathematics, Physics and Biology

Sep 24, 2013

The diversity of living forms led Darwin to state that it is "enough to drive the sanest man mad". How can we describe this variety? How can we understand the origin and evolution of these "endless forms most beautiful?" And how do these forms link to function and physiology at the organismic level and beyond?

Mathematics, and geometry in particular, provides a natural language to express these questions and answer them. Motivated by biological observations on different scales from molecules to organisms to swarms, I will show how a combination of quantitative experiments, physical analogies, mathematical theories and computational models allow us to begin to unravel the mechanistic basis for aspects of morphogenesis and thence towards physiology, pathophysiology and biomimetics.

##### Modern Math Workshop 2013

Oct 2 - 3, 2013

As part of the Mathematical Sciences Collaborative Diversity Initiatives, nine mathematics institutes (including ICERM) are pleased to host their annual pre-conference event, the 2013 Modern Math Workshop. This event precedes the SACNAS National Conference.

The Modern Math Workshop is intended to re-invigorate the focus of mathematics students and faculty at minority-serving institutions and the research careers of minority mathematicians.

##### Organizing Committee

- Jeffrey Brock
- Ricardo Cortez
- Ruth Crane
- Snehalata Huzurbazar
- Jill Pipher
- Ivelisse Rubio

##### Public Lecture: An Encounter with Cutting-Edge Molecular Biology and Cancer Researchers

Oct 7, 2013

We are all familiar with Wigner's Principle - the unreasonable effectiveness of mathematics in the physical sciences. It is in a sharp contrast with what some people call Gelfand's Principle - the unreasonable ineffectiveness of mathematics in the biological sciences. I. M. Gelfand, an eminent mathematician of the 20th century, ran a biology seminar where mathematicians strived to find a common language with biologists.

One of the principle participants of Gelfand's Biology Seminar was Andrei Gudkov, now the Senior Vice President of Basic Science at Roswell Park Cancer Institute at Buffalo, NY (see http://www.roswellpark.edu/andrei-gudkov). In 2008, A. Gudkov was named "one of the top five biologist of the post-Soviet scientific diaspora" by the Russian "Newsweek" (for comparison, a similar list of mathematicians contained Kontsevich, Okounkov and Sinai).

We are organizing a "high risk - high yield" event. Dr.... (more)

##### Topology, Geometry and Group Theory, Informed by Experiment

Oct 21 - 25, 2013

The mathematical focus of this workshop will include all aspects of the topology and geometry of low-dimensional manifolds and geometric group theory. It has been understood for over a century that these subjects are tightly connected, but the connections have become even deeper as the subjects have matured. Recent advances have given dramatic evidence of this. The workshop aims to further extend the interplay between these subjects.

Algorithms have been an important and consistent feature of all of these mathematical areas from the beginning. This includes both questions about the existence of algorithms and the development of practical algorithms for computing natural invariants. More recently, computer experiments and rigorous computer-assisted proofs have had a significant impact. It is natural to expect experimental and computational methods to play an expanding role in the theory of low dimensional spaces. Additional goals of the workshop are to explore the development of new... (more)

##### Organizing Committee

- Danny Calegari
- Marc Culler
- David Gabai
- Joel Hass
- Robert Lipshitz
- Karen Vogtmann
- Genevieve Walsh

##### Geometric Structures in Low-Dimensional Dynamics

Nov 18 - 22, 2013

This workshop will present topics in low-dimensional dynamics such as billiards, flows on flat surfaces, dynamics on moduli spaces, and piecewise isometric maps. One theme in the workshop will be the appearance of geometric structures such as hyperbolic space and Teichmüller space in connection with dynamical systems which are basically defined in terms of the Euclidean plane. Computer experiments are common in these areas, and will be discussed, but the emphasis will be on the mathematics that comes out of the experiments.

##### Organizing Committee

- Moon Duchin
- Pascal Hubert
- Howard Masur
- Richard Schwartz
- Anton Zorich

##### Public Lecture: "Toy Models"

Nov 21, 2013

One of Tadashi Tokieda's lines of activity is inventing, collecting, and studying toys -- objects from daily life that can be found or made in minutes, yet which, if played with imaginatively, reveal behaviors so surprising that they intrigue scientists for weeks.

During this unique talk, Tokieda will display, demonstrate and discuss several toys. Some of the toys will be known but revisited, some will be original, and all will be surprising to mathematicians/physicists and amusing to everyone else.

##### VI-MSS Lecture Series: Soergel bimodules and Kazhdan-?Lusztig theory (at IMSc, Chennai, India)

Jan 20 - Feb 3, 2014

##### From the Clinic to Partial Differential Equations and Back: Emerging challenges for Cardiovascular Mathematics

Jan 20 - 24, 2014

Mathematical models have been giving remarkable contributions in advancing knowledge and supporting decisions in several branches of medicine.

Some progress in applying predictive mathematical tools has been made, for example: surgical planning of the Total Cavopulmonary Connection in cardiac pediatrics is, in some hospitals, based on extensive numerical simulation. However, despite the significance, the impact of predictive modeling in the routine medical treatment falls behind.

The ultimate goal of this workshop is to foster collaboration between mathematicians and medical doctors on modeling cardiovascular system. The workshop is organized into two lines that reflect the special format of the workshop: (a) "Core topics" are up-to-date research areas in mathematics and scientific computing that still present several open exciting challenges, which can require developing new numerical models, computational approaches and validation techniques; (b) "New challenges" are a set of... (more)

##### Organizing Committee

- Pablo Blanco
- Leopold Grinberg
- John Oshinski
- Anne Robertson
- W. Robert Taylor
- Alessandro Veneziani

##### Research Cluster: Geometric analysis methods for graph algorithms

Feb 3 - 28, 2014

This working group will develop new mathematics at the interface between graph structures and high dimensional data and geometric analysis. In the last ten years we have seen an explosion of work in both (a) compressive sensing (sparsity, L1-based methods) and in (b) machine learning involve graphical structures for large scale and high dimensional data. The focus is on both analysis and algorithm development. In the case of new algorithms - codes will be tested against state of art machine learning algorithms. In the case of analytical results - we will draw on expertise in diverse areas of mathematics including differential geometry, nonlinear PDE, optimization, and spectral analysis of graphs. Application areas represented include machine learning, social network data, modularity optimization, L1-compressive sensing methods, and image processing.

One area of focus is community detection in large networks. A current approach for community detection consists in minimizing the... (more)

##### Organizing Committee

- Andrea Bertozzi
- Thomas Laurent