Algebra & Combinatorics Seminar Thursday, Oct. 18 at 10am

Title:                      Poset structure and dimension bounds.

When/Where:       10:00am Thursday, October 18th, Natural Sciences Building, Room 234

Speaker:               Professor Biro

                             Department of Mathematics, UofL

Abstract:

Planar partially ordered sets can have arbitrarily large dimension. There are known results for the upper bound of planar posets if we bound the height, or if we bound the number of minimal (maximal) elements. On the other hand, for posets that are not necessarily planar, but other structural properties are imposed, the dimension is bounded in terms of the height. In this talk, we survey some of these theorems, and we introduce a new result: planar posets that are accessible from below are of dimension at most 6.

The talk will introduce all definitions and background information, so prior understanding of poset theory is not required.

Institutional Accreditation:

The University of Louisville is accredited by the Commission on Colleges of the Southern Association of Colleges and Schools to award associate, bachelor, master, specialist, doctoral, and first-professional degrees (D.M.D., J.D., M.D.). Individuals who wish to contact the Commission on Colleges regarding the accreditation status of the university may write the Commission at 1866 Southern Lane, Decatur, Georgia 30033-4097, or call (404) 679-4500. See Accreditation Confirmation Letter for more Information.

University of Louisville, Department of Mathematics.
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