University of Miami
Department of Mathematics
Lecture Series
Spring Semester 2021
Topics in Partially Ordered Sets
presented by
Professor Richard Stanley
Arts and Sciences Distinguished Scholar
University of Miami
Online
4:00 - 5:00pm
Wednesday, February 10, 2021
Wednesday, February 24, 2021
Wednesday, March 3, 2021
Wednesday, March 17, 2021
Wednesday, March 24, 2021
Wednesday, March 31, 2021
Abstract
We will discuss a variety of topics dealing with the combinatorics of finite partially ordered sets (posets). Although familiarity with the basics of posets will be useful, we assume no knowledge of this subject. The three main topics (with various subtopics) are (1) chains and antichains, (2) two polytopes associated with posets, and (3) the order polynomial of a poset.
Richard P. Stanley
Member of the National Academy of Sciences
Richard Stanley has been a College of Arts and Sciences Distinguished Scholar in Mathematics at the University of Miami since 2014. He was the Norman Levinson Professor of Applied Mathematics at MIT and has been Professor Emeritus there since 2018. Professor Stanley's pioneering contributions to combinatorics and its connections with other areas of mathematics revolutionized the field. He was awarded the George Pólya Prize in Applied Combinatorics in 1975 from the Society of Industrial and Applied Mathematics, the Leroy P. Steele Prize in 2001 from the American Mathematical Society, and the Rolf Schock Prize in Mathematics in 2003 from the Royal Swedish Academy of Sciences. Professor Stanley held a Guggenheim Fellowship and is a fellow of the American Academy of Arts & Sciences and a member of the National Academy of Sciences.
