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Algebraic and Enumerative Combinatorics

January 13 - April 30, 2020

This program is devoted to Algebraic Combinatorics with a special focus on enumeration, random processes and zeros of polynomials. There have been several interactions between the three themes.

For example techniques from enumerative combinatorics are frequently used in problems arising in statistical physics, techniques using zeros of polynomials have been used to analyze the behavior of certain Markov processes, and the zeros of polynomials appearing in enumerative combinatorics have been studied frequently. Tools from algebraic combinatorics are often used to attack problems in the theme areas. We believe that research in the themes would benefit from further interactions.

Examples of topics among the themes of the proposed program are:

Algebraic combinatorics. Combinatorics of Coxeter groups, Grassmannians, Schubert polynomials and Macdonald polynomials, representation theory of the symmetric group, algebraic aspects of matroid theory, symmetric functions.

Analytic techniques. Asymptotics of combinatorial sequences and arrays, stable polynomials, real-rootedness, log-concavity, Interlacing families.

Random processes. Particle models, tilings, random maps, random surfaces, limit shapes, correlation inequalities.

Enumerative combinatorics. Combinatorial descriptions of stationary distributions of Markov processes, combinatorics of the symmetric group, unimodality, bijections, generating functions.

During the program, there will be three workshops with thematically focused talks:

  • Combinatorics and Random Processes, January 27 – 31 Schedule
  • Unimodality, Log-concavity and beyond, March 16 – 20 Schedule
  • Algebraic Combinatorics, April 20 – 24 Schedule

Participation in the program is by invitation only.

Seminars Scroll to the next upcoming seminar

Recordings

Participants

Name University Country Arrival and Departure
Ron
Adin
University: Bar-Ilan University Country: Israel Arrival and Departure:
Per
Alexandersson
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 13 - Mar 13
Omer
Angel
University: University of British Columbia Country: Canada Arrival and Departure: Jan 22 - Feb 5
Christos
Athanasiadis
University: University of Athens Country: Greece Arrival and Departure: Feb 2 - Mar 20
Arvind
Ayyer
University: Indian Institute of Science Country: India Arrival and Departure: Jan 12, Apr 10 - Apr 10, May 3
Spencer
Backman
University: University of Vermont Country: United States Arrival and Departure: Feb 28 - Mar 12
Sara
Billey
University: University of Washington Country: United States Arrival and Departure: Jan 12 - Feb 6
Anders
Björner
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 13 - Mar 13
Francesco
Brenti
University: Universita di Roma Tor Vergata Country: Italy Arrival and Departure: Jan 15 - Apr 10
Petter
Brändén
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 13 - Apr 30
Angela
Carnevale
University: National University of Ireland Galway Country: Ireland Arrival and Departure: Jan 13 - Mar 13
Sunil
Chhita
University: Durham University Country: United Kingdom Arrival and Departure: Jan 27 - Jan 31
Anders
Claesson
University: University of Iceland Country: Island Arrival and Departure: Jan 12 - Mar 11
Sylvie
Corteel
University: Université Paris Diderot, Paris 7 Country: France Arrival and Departure: Jan 16, Feb 21 - Feb 1, Mar 5
Surjadipta
De Sarkar
University: Indian Institute of Science Country: India Arrival and Departure: Jan 31, Apr 10 - Apr 10, May 3
Alexander
Engström
University: Aalto University Country: Finland Arrival and Departure: Jan 27 - Mar 13
Christopher
Eur
University: University of California, Berkeley Country: United States Arrival and Departure: Feb 23 - Mar 13
Ilse
Fischer
University: University of Vienna Country: Austria Arrival and Departure: Jan 26 - Feb 22
Afshin
Goodarzi
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 13 - Mar 19
Darij
Grinberg
University: Drexel University Country: United States Arrival and Departure: Jan 14 - Mar 31
Pamela
Harris
University: Williams College Country: United States Arrival and Departure:
Angela
Hicks
University: Lehigh University Country: United States Arrival and Departure: Jan 13 - Mar 12
Cecilia
Holmgren
University: Uppsala University Country: Sweden Arrival and Departure: Jan 27 - Jan 31
Alexander
Holroyd
University: Microsoft Research Redmond Country: United States Arrival and Departure:
Axel
Hultman
University: Linköping University Country: Sweden Arrival and Departure: Jan 27, Jan 12 - Mar 13, Jan 17
Svante
Janson
University: Uppsala University Country: Sweden Arrival and Departure: Jan 27 - Jan 31
Katharina
Jochemko
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 13 - Mar 13
Kurt
Johansson
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure:
Matthieu
Josuat-Verges
University: Université Paris-Est Marne-la-Vallée Country: France Arrival and Departure:
Ezgi
Kantarci Oguz
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 13 - Mar 13
Jang
Soo Kim
University: Sungkyunkwan University Country: South Korea Arrival and Departure: Jan 19 - Mar 19
Florian
Kohl
University: Aalto University Country: Finland Arrival and Departure: Jan 12 - Mar 7
Matjaz
Konvalinka
University: University of Ljubljana Country: Arrival and Departure: Jan 12 - Jan 31
Khazhgali
Kozhasov
University: TU Braunschweig Country: Arrival and Departure:
Christian
Krattenthaler
University: University of Vienna Country: Austria Arrival and Departure: Jan 26 - Feb 28
Jonathan
Leake
University: University of California, Berkeley Country: United States Arrival and Departure: Jan 13 - Mar 22
Svante
Linusson
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 13 - Apr 30
Gaku
Liu
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 27 - Jan 31
Olya
Mandelshtam
University: Brown University Country: United States Arrival and Departure: Jan 13 - Mar 6
James
Martin
University: University of Oxford Country: United Kingdom Arrival and Departure: Jan 12 - Feb 1
Ivan
Martino
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 13 - Mar 13
Alejandro
Morales
University: University of Massachusetts Amherst Country: United States Arrival and Departure: Jan 17 - Feb 1
Jennifer
Morse
University: University of Virginia Country: United States Arrival and Departure: Apr 3 - May 1
Philippe
Nadeau
University: Université Lyon 1 Country: France Arrival and Departure:
Igor
Pak
University: University of California, UCLA Country: United States Arrival and Departure: Jan 26, Feb 16 - Feb 2, Mar 22
Greta
Panova
University: University of Pennsylvania Country: United States Arrival and Departure: Mar 10 - Mar 25
Samu
Potka
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 27 - Mar 13
Anna
Ying Pun
University: University of Virginia Country: United States Arrival and Departure: Jan 13 - Mar 13
Mohan
Ravichandran
University: Bogazici University Country: Turkey Arrival and Departure: Feb 3, Apr 10 - Apr 10, Apr 23
Petter
Restadh
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 27 - Mar 13
Thomas
Roby
University: University of Connecticut Country: United States Arrival and Departure: Feb 9, Mar 16 - Mar 16, Mar 22
Raman
Sanyal
University: Goethe University Frankfurt am Main Country: Germany Arrival and Departure:
Anne
Schilling
University: University of California Country: United States Arrival and Departure: Jan 25 - Feb 29
Liam
Solus
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 13 - Mar 13
Andrea
Sportiello
University: Université Paris 13 Country: France Arrival and Departure: Apr 5 - Apr 25
Nikhil
Srivastava
University: University of California, Berkeley Country: United States Arrival and Departure:
Richard
Stanley
University: Massachusetts Institute of Technology, MIT Country: United Kingdom Arrival and Departure:
Jessica
Striker
University: North Dakota State University Country: United States Arrival and Departure:
Robin
Sulzgruber
University: KTH Royal Institute of Technology Country: Sweden Arrival and Departure: Jan 12 - Feb 1
Bridget
Tenner
University: DePaul University Country: United States Arrival and Departure: Feb 2 - Feb 15
Vasu
Tewari
University: University of Pennsylvania Country: United States Arrival and Departure: Jan 13 - Mar 20
Cynthia
Vinzant
University: North Carolina State University Country: United States Arrival and Departure:
Stephan
Wagner
University: Uppsala University Country: Sweden Arrival and Departure:
Lauren
Williams
University: University of California, Berkeley Country: United States Arrival and Departure:
Benjamin
Young
University: University of Oregon Country: United States Arrival and Departure: Jan 12 - Mar 13

Preprints

  1. Some natural extensions of the parking space - Matjaž Konvalinka Vasu Tewari
  2. Hopf Algebras in Combinatorics - Darij Grinberg Victor Reiner
  3. Petrie symmetric functions - Darij Grinberg
  4. Trimming the permutahedron to extend the parking space - Matjaž Konvalinka Robin Sulzgruber Vasu Tewari
  5. Limiting directions for random walks in classical affine Weyl groups - Erik Aas Arvind Ayyer Svante Linusson Samu Potka
  6. Combinatorics of antiprism triangulations - Christos A. Athanasiadis Jan-Marten Brunink Martina Juhnke-Kubitzke
  7. Lower bounds for contingency tables via Lorentzian polynomials - Petter Brändén Jonathan Leake Igor Pak
  8. Enumeration of standard barely set-valued tableaux of shifted shapes - Jang Soo Kim Michael J. Schlosser Meesue Yoo
  9. Odd diagrams, Bruhat order, and pattern avoidance - Francesco Brenti Angela Carnevale Bridget Eileen Tenner
  10. Toppleable Permutations, Excedances and Acyclic Orientations - Arvind Ayyer Daniel Hathcock Prasad Tetali
  11. Promotion and cyclic sieving on families of SSYT - Per Alexandersson Ezgi Kantarci Oğuz Svante Linusson
  12. The Newton polytope and Lorentzian property of chromatic symmetric functions - Jacob P. Matherne Alejandro H. Morales Jesse Selover