Introductory Representation Theory

J. M. LANDSBERG (Texas A&M University)
Video 7/21, Video 7/22, Video 7/23, Video 7/24, Video 7/25

Learning, Statistics, and Optimization

RISI KONDOR (The University of Chicago)
"Introduction to Harmonic Analysis On Groups"
Slides, Video
"Fourier Analysis on the Symmetric Group"
Slides, Video
"Invariants and Optimization"
Slides, Video

PETER MCCULLAGH (The University of Chicago)
"Statistical Models and Representation Theory"
Video1, Video2 8/4; Video 8/5

MICHAEL ORRISON (Harvey Mudd College)
"Algebraic Voting Theory"
Slides, Video

Tensor Networks, Categories, Quantum

CRISTOPHER MOORE (Santa Fe Institute)
"Shor’s Quantum Factoring Algorithm"
Video
"Representations of the Symmetric Grouping and the Hunt for a Quantum Algorithm for Graph Isomorphism"
Video
"Estimating the Permanent with Nonabelian Determinants"
Video

JASON MORTON (The Pennsylvania State University)
Notes, Video 7/21; Notes, Video 7/22; Notes, Video 7/23; Notes, Video 7/24; Notes, Video 7/25; Video 7/31

JACOB TURNER (The Pennsylvania State University)
"Relating Orbit Spaces and Quivers"
Video

Computational Complexity

J. M. LANDSBERG (Texas A&M University)
Video 7/28, Video 7/29, Video 7/30, Video 7/31, Video 8/1
Special Seminar: "Geometric Complexity Theory and Minimal Free Resolutions"
Video

KETAN MULMULEY (The University of Chicago)
"Kronecker Coefficients and Geometric Complexity Theory"
Video
"Kronecker Coefficients and Geometric Complexity Theory"
Video

Computational Complexity (continued)

CHRIS UMANS (California Institute of Technology)
"I. Approaches to Bounding the Exponent of Matrix Multiplication"
Slides, Video
"II. Group-Theoretic Approach"
Slides, Video
"III. Matrix Multiplication Using Coherent Configuations"
Slides, Video

FFT, Signal Processing, Imaging

GREGORY CHIRIKJIAN (Johns Hopkins University)
"Representation Theory and Computational Harmonic Analysis on Euclidean Motion Groups"
Slides, Video
"Applications in Robotics and Biology"
Slides, Video
"Discrete Subgroups, Almost-Uniform Sampling on Lie Groups and Implications for FFTs"
Slides, Video

SAMUEL DENTON (York University)
"Compressed Combinatorics"
Video

SHAMGAR GUREVICH (University of Wisconsin, Madison)
"The Heisenberg Representation and The Fast Fourier Transform"
Slides, Video
"Diagonalization of the Discrete Fourier Transform and the Weil Representation"
Slides, Video
"The Geometric Weil Representation and Pseudo-Random Vectors"
Slides

MICHAEL ORRISON (Harvey Mudd College)
"Adapted Bases and Fast Transforms"
Slides, Video

DANIEL ROCKMORE (Dartmouth College)
Video 7/29; Video1, Video2 7/30

AMIT SINGER (Princeton University)
"Introduction to Three Dimensional Structure Determination of Macromolecules by Cryo-Electron Microscopy"
Slides, Video
"Orientation Assignment in Cryo-EM"
Slides, Video
"Class Averaging and Symmetry Detection in Cryo-EM"
Slides, Video
"Covariance Matrix Estimation for the Cryo-EM Heterogeneity Problem"
Slides, Video


 

We also thank the IMA for providing the application website and general sponsorhip.

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Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).