### Tutorial: Agent-Based Modeling

Christina Mair
FRED tutorial by Mary Krauland and Dave Galloway

### Monopoles and difference modules

Takuro Mochizuki
We shall discuss equivalences between various types of monopoles and difference modules. They are variants of Kobayashi-Hitchin correspondences between algebro-geometric objects and differential geometric objects. We may also regard them as equivalences between monopoles and their underlying scattering data, which have been pursued in various contexts. Though it is difficult to construct monopoles explicitly, we would like to explain that some asymptotic properties can be easily understood through the corresponding difference modules.

### Uniform spanning trees in high dimension 3

Tom Hutchcroft
<p>Uniform spanning trees have played an important role in modern probability theory as a non-trivial statistical mechanics model that is much more tractable than other (more physically relevant) models such as percolation and the Ising model. It also enjoys many connections with other topics in probability and beyond, including electrical networks, loop-erased random walk, dimers, sandpiles, l^2 Betti numbers, and so on. In this course, I will introduce the model and explain how we can...

### Deep Reading, Critical Thinking, and Empathy in the Age of COVID : A Digital Dilemma

Maryanne Wolf
Dr. Wolf has dedicated her professional career to children with learning challenges. Her research focuses on dyslexia, literacy in digital culture, and the reading brain circuit. She designed the RAVE-O reading intervention for children with dyslexia. Dr. Wolf is the author of Proust and the Squid (2007), translated into 13 languages, Tales of Literacy for the 21st Century (2016), and Reader, Come Home: The Reading Brain in a Digital World (2018). She has been the...

### The Cultural and Natural Legacy in the Cradle of Maya Civilization : The Mirador-Calakmul Basin of Guatemala and Mexico

Richard D. Hansen
Dr. Hansen has identified some of the largest and earliest ancient cities of the Mayan civilization in Central America with a major international archaeological research team with scholars from around the globe. His work has been featured in 36 film documentaries and he was the principal consultant for the movie Apocalypto (Mel Gibson), CBS’s Survivor Guatemala, and National Geographic’s The Story of God with Morgan Freeman. In 2013, he was named as “one of 24...

### Tracking the structural diversity of carbapenemase-producing plasmids using single molecule sequencing.

Nicholas Noll
The rapid global increase of multidrug-resistant organisms presents a major global health threat that will dramatically reduce the efficacy of antibiotics and thus constrain the number of effective treatments available to patients. As opposed to analogous efforts in viral epidemiology, accurate reconstruction of the pandemic spread of antibiotic resistance remains intractable for reasonable sample sizes due, in large part, to the high rate of homologous recombination and horizontal gene transfer that prevents the application of...

### Multistage Stochastic Capacity Planning Using JuDGE

Andy Philpott
Julia Dynamic Generation Expansion (JuDGE) is a Julia package for solving stochastic capacity expansion problems formulated in a "coarse-grained" scenario tree that models long-term uncertainties. The user provides JuDGE with a coarse-grained tree and a JuMP formulation of a stage problem to be solved in each node of this tree. JuDGE then applies Dantzig-Wolfe decomposition to this framework based on the general model of Singh et al. (2009). The stage problems are themselves single-stage capacity...

### Constructions of high dimensional caps, sets without arithmetic progressions, and sets without zero sums

Christian Elsholtz

### Hasse principle for a family of K3 surfaces

Daniel Loughran
In this talk we study the Hasse principle for the family of "diagonal K3 surfaces of degree 2", given by the explicit equations: $$w^2 = A_1 x_1^6 + A_2 x_2^6 + A_3 x_3^6.$$ I will explain how many such surfaces, when ordered by their coefficients, have a Brauer-Manin obstruction to the Hasse principle. This is joint work with DamiÃ¡n Gvirtz and Masahiro Nakahara.

### Mean field methods in high-dimensional statistics and nonconvex optimization - 2

Andrea Montanari
Starting in the seventies, physicists have introduced a class of random energy functions and corresponding random probability distributions (Gibbs measures), that are known as mean-field spin glasses. Over the years, it has become increasingly clear that a broad array of canonical models in random combinatorics and (more recently) high-dimensional statistics are in fact examples of mean field spin glasses, and can be studied using tools developed in that area. Crucially, these new application domains have...

### Categorification and geometric group theory

Anthony Licata
One of the upshots of categorification constructions in representation theory is a nice stock of examples of actions of groups (e.g. braid groups) on triangulated categories. The goal of this talk will be to explain how, following an analogy with the study of mapping class groups of surfaces via Teichmuller theory, such categorical constructions can be used to study the groups themselves.

Stephane Mallat

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1,803
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717

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