## Programs & Events

##### Public Lecture: Scratching the Surface in Dynamic Visual Effects

Mar 11, 2013

Computational physics now underlies some of the most amazing and most routine of visual effects work, using numerical models to simulate reality and more on the computer. Natural-looking water, smoke, fire, and clothing effects in film are often handled best by understanding and solving the physics of how they move in nature. Making simulations efficient and artist-friendly remains a huge challenge.

Dr. Bridson will discuss both the general context of physics-based animation in graphics, but then focus particularly on the advent of new geometric and numerical algorithms for exploiting surface meshes in simulation - both the obvious like clothing and the more surprising like smoke.

##### Whittaker Functions, Schubert calculus and Crystals

Mar 4 - 8, 2013

Schubert calculus is the modern approach to classical problems in enumerative algebraic geometry, specifically on flag varieties and their many generalizations. Crystals are combinatorial tools based on quantum groups which arise in the study of representations of Lie algebras. Whittaker functions are special functions on Lie groups or p-adic groups, for example GL(n,F) where F might be the real or complex numbers, or a p-adic field.

The area of intersection between these three topics is combinatorial representation theory. Common tools such as Demazure operators, the Bruhat partial order, and Macdonald polynomials appear in all three areas. Some connections between these three areas are quite new. This workshop will explore these connections.

##### Organizing Committee

- Sara Billey
- Daniel Bump
- Cristian Lenart

##### Sage Days: Multiple Dirichlet Series, Combinatorics, and Representation Theory

Feb 11 - 15, 2013

Sage is a mathematics software system developed by and for the mathematics community, whose mission is to create a viable free open source alternative to Magma, Maple, Mathematica and Matlab. Its wide span of features, in particular in number theory, combinatorics, and representation theory, together with its friendly community based development, fosters collaborations across disciplines, from the design and implementation of new computer exploration tools to research.

This workshop will bring together experienced Sage and Sage-Combinat developers and experts of multiple Dirichlet series and computational algebraic combinatorics. Like every workshop in the Sage Days series, it will welcome whoever wants to discover Sage, learn more about it, or contribute to it.

As the first meeting for the ICERM Semester... (more)

##### Organizing Committee

- Franco Saliola
- Anne Schilling
- Nicolas Thiéry

##### Automorphic Forms, Combinatorial Representation Theory and Multiple Dirichlet Series

Jan 28 - May 3, 2013

L-functionsâ€”vast generalizations of the Riemann zeta functionâ€” are fundamental objects of study in number theory. In the 1980's the idea emerged that it could be useful to tie together a family of related L-functions in one variable to create a "double Dirichlet series," which could be used to study the average behavior of the original family of L-functions. Double Dirichlet series soon became multiple Dirichlet series. It has gradually emerged that the local structure of these multiple Dirichlet series shows a rich connection to combinatorial representation theory.

This program will explore this interface between automorphic forms and combinatorial representation theory, and will develop computational tools for facilitating investigations. On the automorphic side, Whittaker functions on p-adic groups and their covers are the fundamental objects. Whittaker functions and their relatives are expressible in terms of combinatorial structures on the associated L-group, its flag... (more)

##### Organizing Committee

- Sara Billey
- Ben Brubaker
- Daniel Bump
- Gautam Chinta
- Solomon Friedberg
- Dorian Goldfeld
- Jeffrey Hoffstein
- Anne Schilling
- Nicolas Thiéry

##### Mathematics of Planet Earth 2013

Jan 5 - Sep 24, 2013

“Mathematics of Planet Earth 2013” (MPE2013), the year-long program created to encourage research on a range of topics related to Planet Earth---was active for the year 2013 and transitioned into â€œMathematics of Planet Earthâ€ (MPE) at the beginning of 2014. What was accomplished and what are the plans for MPE?

MPE2013 was conceived to stimulate the mathematics research community to identify fundamental research questions about Planet Earth and to reach out to the general public to highlight the role of mathematics in global studies of the Earth. It has grown into an international effort, received the patronage of UNESCO, and involved more than 140 partners, including professional societies, academic institutions, research institutes, and teacher organisations. The distinctive MPE2013 logo has been featured at many conferences, workshops, and lectures, and MPE2013 has found its way among the public, the media, and schools... (more)

##### Workshop and Conference on Limit Theorems in Probability (in Bangalore, India)

Jan 2 - 11, 2013

Ever since Jakob Bernoulli proved the law of large numbers for Bernoulli random variables in 1713, the subject of limit theorems has been a driving force for the development of probability theory as a whole. The elucidation of different flavours of laws of large number, central limit theorems and laws of iterated logarithm, their extensions to Markov chains or sums of weakly dependent or stationary processes, limit theorems for Banach space valued random variables, etc., have given rise to a rich theory as well as the basic tools for tackling any problem involving randomness.

Today, 300 years after the landmark result of Bernoulli, it is fruitful to look back at the way in which search for limit theorems has shaped the subject. It is also fruitful to consider how the emphasis has evolved over time from simple limit theorems to getting bounds on the rates of convergence or obtaining inequalities, which are of more immediate relevance in applications to nite samples. The current... (more)

##### Organizing Committee

- Manjunath Krishnapur
- Kavita Ramanan

##### Reproducibility in Computational and Experimental Mathematics

Dec 10 - 14, 2012

In addition to advancing research and discovery in pure and applied mathematics, computation is pervasive across the sciences and now computational research results are more crucial than ever for public policy, risk management, and national security. Reproducibility of carefully documented experiments is a cornerstone of the scientific method, and yet is often lacking in computational mathematics, science, and engineering. Setting and achieving appropriate standards for reproducibility in computation poses a number of interesting technological and social challenges. The purpose of this workshop is to discuss aspects of reproducibility most relevant to the mathematical sciences among researchers from pure and applied mathematics from academics and other settings, together with interested parties from funding agencies, national laboratories, professional societies, and publishers. This will be a working workshop, with relatively few talks and dedicated time for breakout group discussions... (more)

##### Organizing Committee

- David Bailey
- Jonathan Borwein
- Randall LeVeque
- Bill Rider
- William Stein
- Victoria Stodden

##### Winter School and Conference on Computational Aspects of Neural Engineering (in Bangalore, India)

Dec 10 - 21, 2012

We are pleased to announce the first joint IMI-ICERM Winter School on Computational Aspects of Neural Engineering. The course is directed at graduate students, postdoctoral fellows, and other researchers from the physical sciences (e.g. physics, mathematics, computer science, engineering) and the life sciences (e.g. neuroscience, biology, physiology). The course will offer participants the opportunity to learn about the foundations of neural engineering and brain-computer interfacing, and develop their skills in computational analysis of neural data for the control of external devices. The topics will range from primers on neuroscience, signal processing, and machine learning to brain-computer interfacing based on multi neuronal activity, electrocorticography (ECoG), and electroencephalography (EEG).

The course will consist of 3 hours of lectures each morning, followed by a 3-hour MATLAB-based computer laboratory in the afternoon. Participants will pair up for these laboratories, and... (more)

##### Organizing Committee

- Jill Pipher
- Govindan Rangarajan
- Rajesh Rao

##### Performance Analysis of Monte Carlo Methods

Nov 28 - 30, 2012

Monte Carlo methods have become increasingly important in Engineering and the Sciences. These application areas have posed challenges and opportunities in the analysis of modern Monte Carlo algorithms. The workshop's main focus is on: a) the mathematical techniques and aspects that have been key in the analysis of these algorithms, and b) the identification of techniques that are likely to play a role in future analysis.

##### Organizing Committee

- Jose Blanchet
- Gersende Fort
- Henrik Hult
- Jingchen Liu

##### Public Lecture: Physics in Animation and Visual Effects

Nov 15, 2012

DreamWorks Animation produces family entertainment that is enjoyed by audiences worldwide. It is a major consumer technology, and employs a skilled workforce of scientists and engineers working to advance the state of the art in computer graphics for film production. Their movies use the latest technology for animation, rendering and visual effects, including techniques based on physical simulation.

Many environment and character effects elements, e.g. fire, smoke, water, cloth, hair, use sophisticated numerical models to produce motion that is acceptably close to the "real world" while maintaining a high level of art directability. Coupling between models is often a compromise between these competing requirements. In this talk Dr. Henderson will survey state-of-the-art simulation techniques for visual effects and animation, and discuss some of the challenges in applying these techniques in a creative environment.

##### Blackwell-Tapia Conference 2012

Nov 9 - 10, 2012

This is the seventh in a series of biennial conferences honoring David Blackwell and Richard Tapia, two seminal figures who inspired a generation of African-American, Native American and Latino/Latina students to pursue careers in mathematics. Carrying forward their work, this one and a half day conference will

- Recognize and showcase mathematical excellence by minority researchers
- Recognize and disseminate successful efforts to address under-representation
- Inform students and mathematicians about career opportunities in mathematics, especially outside academia
- Provide networking opportunities for mathematical researchers at all points in the higher education/career trajectory

##### Organizing Committee

- Alejandro Aceves
- Edray Goins
- Trachette Jackson
- Robert Megginson
- Juan Meza
- Jill Pipher
- Bjorn Sandstede

##### Public Lecture: A Tale of Two Climates

Nov 8, 2012

The climate in which we live is changing. The scientific community is in agreement on this fact, and that the change is being driven by anthropogenic sources of CO_{2}. We do not, however, know the details: how it will play out regionally? When will the full impact of climate change be felt? Might we be in for sudden changes?

There are reasons to believe that these questions are fundamentally mathematical in nature. But the mathematical community has a culture with its own "climate." Dr. Jones will ask the question whether it will change in rising to the scientific challenges posed by a warming climate.