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Transcript
Departments of Mathematics and Statistics
ALGEBRAIC GEOMETRY SEMINAR
JASON MORTON
Department of Mathematics and Statistics
Pennsylvania State University
Geometry and Tensor Networks
TUESDAY, April 9, 2013, from 4:30–6:00 PM
202 Eckhart Hall, 5734 S. University Avenue
ABSTRACT
Geometry and tensor networks: Tensor networks (or more generally, diagrams in monoidal
categories with various additional properties) arise constantly in applications, particularly
those involving networks used to process information in some way. Aided by the easy interpretation of the graphical language, they have played an important role in computer
science, statistics and machine learning, and quantum information and many-body systems.
Tools from algebraic geometry, representation theory, and category theory have recently
been applied to problems arising from such networks. Basic questions about each type of
information-processing system (such as what probability distributions or quantum states can
be represented) turn out to lead to interesting problems in algebraic geometry, representation
theory, and category theory.
Organizers:
For further information on this event, please email Lek-Heng Lim at [email protected] or Madhav
Nori at [email protected].
UCAGS Seminar URL: http://www.stat.uchicago.edu/~lekheng/ag.html