The Math/Stats colloquium is excited to resume its regular schedule with our own Roy Araiza (an SJSU undergrad!) on “C*-Algebras and Real Operator Systems”.  An operator system is a closed subspace of bounded linear operators on a Hilbert Space that is closed under the adjoint operation and contains the identity.  In the complex case, it is known that any operator system is essentially a space of continuous matrix affine functions on a compact matrix convex set.  This talk asks: Does the same property hold for real operator systems?  We will begin by reviewing Hilbert space theory, and introducing objects such as Banach algebras, C*-algebras and von Neumann algebras.  We will then provide concrete examples of real operator systems and elaborate on their relationship with spaces of matrix affine functions on a compact matrix convex set.

Background: One semester each of linear algebra and analysis.

• Date: Wed Apr 08
• Time: 3-3:50pm
• Room: MH320
• Snacks: 2:30pm in MH331B

For more information, click here to see the full flyer, suitable for printing and posting.

Hope to see you there!

Upcoming events:

• Mon Apr 13: Math/Stats Career Day, 3:00-4:15pm, MH320
• Wed Apr 15: Tim Hsu, SJSU
  “Cube complexes, 3-manifolds, and the Virtually Fibered Conjecture”
• Wed Apr 22: Dominique Guillot, Stanford Univ.
  “Critical exponents of graphs: Analysis, combinatorics, and statistics”