Math Colloquium Series looks Algebraic Frames and Ultrafilters, Nov. 1

On Friday, November 1, at 12:05pm in Parker 338, Florida Atlantic University Instructor Papiya Bhattacharjee, Ph.D. presented her lecture on Algebraic Frames and Ultrafilters. A frame, also known as pointfree topology, is a complete lattice that satisfies a strong distributive property, known as the ‘frame law’.  Originally, the study of frames began as studying topological spaces without points, hence the name pointfree topology.

Due to this connection, different topological concepts can be generalized to frames, for example, compactness. In the first part of the talk she will explain the basic notions of frames and their connection with topology.

It turns out that we can find frame structure in other categories than topological spaces. For example, given a commutative ring R with identity, the lattice of radical ideals of R, Rad(R), is a frame.  As a result, concepts from ring structure can also be generalized to frames, for example, primes and minimal primes, annihilators, etc.  She discussed some of these concepts in the language of frame theory.

Halmos College of Natural Sciences and Oceanography department of mathematics hosts the mathematics colloquium series in Parker Building, Room 301. For more information about the math colloquium series, please contact mathematics faculty member Jing Chen, Ph.D. (jchen1@nova.edu) or Evan Haskell, Ph.D. (haskell@nova.edu).