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We will discuss the proof of the convergence result for the fixed points (in the vanishing viscosity limit).
This is a continuation of the seminar talk from the previous week. The mod p cohomology of a space is an algebra over the Steenrod algebra A of cohomology operations, containing much additional information. So too are the Dickson algebras of polynomial invariants under the natural action of the general linear groups. We ask what the global structure of these A-algebras is, and will answer the question for p=2 by discovering an attractive description of minimal A-algebra generators and relations for the Dickson algebras.
There are only 4 division algebras, namely the reals, complexes,
quaternions, and octonions. After constructing the octonions and
discussing their basic properties, I will discuss the remarkable role of
the division algebras in several classification schemes: There are 4
Hopf maps, there are 4 dimensions in which classical supersymmetry is
possible, and all symmetry groups (Lie groups) are locally isomorphic to
matrix groups over one of the 4 division algebras.
A graph is a representation of a collection of interacting objects. The field of pattern recognition developed significantly in the 1960s, and the field of random graph inference has enjoyed much recent progress in both theory and application. This talk focuses on pattern recognition in the context of a particular family of random graphs, namely the stochastic blockmodels, from the two main perspectives of single graph inference and joint graph inference, as well as its applications in social network, neural connectomes and digital marketing.
The OSU Department of Mathematics will host the Annual Meeting of the Pacific Northwest Section of the MAA to be held on April 1-2, 2016. The eighth annual Northwest Undergraduate Mathematics Symposium (NUMS) will be embedded within the larger annual meeting.
The purpose of the Pacific Northwest Section is to advance collegiate-level mathematics on a regional level as well as to provide professional development and networking activities for section members and mathematics students. Much of the section’s activities center around the annual meeting, including Project NExT (New...