Schedule

Invited speakers

• Vít Jelínek, Charles University – Title: On Fishburn Numbers

I will talk about various aspects of the number sequence known as the Fishburn numbers (A022493 in the OEIS). I will mention some of the many combinatorial structures enumerated by this number sequence, which include interval orders, ascent sequences, Stoimenow matchings, and certain classes of pattern-avoiding permutations. I will also talk about the generating function of these numbers and present some surprising identities involving this function. Next, I will point out several congruence identities involving the Fishburn numbers, which have been proven by number-theoretic arguments and for which no combinatorial explanation is currently known. Finally, I will talk about certain close combinatorial analogies between the Fishburn numbers and the Catalan numbers.

slides

• Peter Winkler, Dartmouth College – Title: Permutons and Pattern Densities

Permutons, also known as doubly-stochastic measures, are limit structures for permutations (graphical grid classes are examples). For nice, large (factorial over exponential) subsets of $S_n$, we have a variational principle that enables us to describe most permutations in the subset by finding the permuton that maximizes a certain entropy function.

Ideal examples of such subsets are permutations with one or more given non-zero pattern densities, for which—sometimes—we can compute the winning permuton. Can we deduce properties about smaller subsets, such as the (merely exponential) set of permutations that avoid a pattern? Maybe with your help…

Joint work with Rick Kenyon, Dan Kráľ, and Charles Radin.

slides

Excursion and banquet

The conference banquet and excursion will be combined on Wednesday 28 June. We will visit the Reykjanes peninsula and the banquet will be at a restaurant there.

We will leave from the university at 2pm. Dinner will be at 7pm at Salthúsið in Grindavík. We will return at 10pm.

Contributing speakers

Michael Albert, University of Otago, New Zealand - abstract, slides

Nima Amini, KTH Royal Institute of Technology, Sweden - abstract, slides

Eli Bagno, Jerusalem College of Technology, Israel - abstract, slides

Christian Bean, Reykjavik University, Iceland - abstract, slides, PermPAL

David Bevan, University of Strathclyde, UK - abstract, slides

Robert Brignall, The Open University, UK - abstract, slides

Alexander Burstein, Howard University, USA - abstract, slides

Robert Davis, Michigan State University, USA - abstract, slides

Kevin Dilks, North Dakota State University, USA - abstract, slides

Luca Ferrari, University of Firenze, Italy - abstract, slides

Jennifer Galovich, St. John’s University and the College of St. Benedict, USA - abstract, slides

Anant Godbole, East Tennessee State University, USA - abstract, slides

Benjamin Gunby, Harvard University, USA - abstract, slides

Sylvie Hamel, Université de Montréal, Canada - abstract, slides

Stanislav Kucera, Charles University, Czech Republic - abstract, slides

William Kuszmaul, Stanford Univesity, USA - abstract, slides

Neal Madras, York University, Canada - abstract, slides

Sam Miner, Pomona College, USA - abstract, slides

Katherine Moore, Dartmouth College, USA - abstract, slides

Michal Opler, Charles University, Czech Republic - abstract, slides

Adeline Pierrot, Université Paris-Sud, France - abstract, slides

Andrew Elvey Price, University of Melbourne, Australia - abstract, slides

Lara Pudwell, Valparaiso University, USA - abstract, slides

Manda Riehl, University of Wisconsin-Eau Claire, USA - abstract, slides

Simone Rinaldi, University of Siena, Italy - abstract, slides

Fiona Skerman, University of Bristol, UK - abstract, slides

Jakub Sliacan, The Open University, UK - abstract, slides

Erik Slivken, University of California Davis, USA - abstract, slides

Walter Stromquist, Bryn Mawr College, USA - abstract, slides

Bridget Tenner, DePaul University, USA - abstract, slides

Sittipong Thamrongpairoj, UCSD, USA - abstract, slides

Justin Troyka, Dartmouth College, USA - abstract, slides

Yan Zhuang, Brandeis University, USA - abstract, slides

Chaim Even Zohar, University of California Davis, USA - abstract, slides

Posters

Ragnar Pall Ardal, Reykjavik University, Iceland - abstract

Arnar Bjarni Arnarson, Reykjavik University, Iceland - abstract, PermPAL

Elizabeth Kelley, University of Minnesota, USA - abstract

Kendra Killpatrick, Pepperdine University, USA - abstract, poster

Sergey Kirgizov, Université de Bourgogne, France - abstract, poster

Tomas Ken Magnusson, Reykjavik University, Iceland - abstract, poster

David Marchant, The Open University, UK - abstract, poster

Brian Miceli, Trinity University, USA - abstract, poster

Ioannis Michos, European University, Cyprus - abstract, poster

Émile Nadeau, UQAM, Canada - abstract, poster

Dun Qiu, UCSD, USA - abstract, poster

Jason Smith, University of Strathclyde, UK - abstract, poster

Rebecca Smith, SUNY, USA - abstract

Masaya Tomie, Morioka University, Japan - abstract, poster

Mike Weiner, Penn State University, USA - abstract

Alexander Woo, University of Idaho, USA - abstract

Open Problems

Here are some of the problems asked at the conference and the respective questioner.

William Kuszmaul - problem

Jennifer Galovich - problem