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

Zoom Meeting ID: 926 7547 6781
https://miami.zoom.us/j/92675476781?pwd=MnBUT0JiRGx0YitUVnJ4ME9KOUkrQT09
Passcode: poset

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
Wednesday, April 7, 2021 (tentative)


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.