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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

Participants

Name University Country Arrival and Departure
Ron
Adin
University: Bar-Ilan University City: Israel Arrival and Departure: -
Per
Alexandersson
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 13 - Mar 13, 2020
Omer
Angel
University: University of British Columbia City: Canada Arrival and Departure: Jan 22 - Feb 5, 2020
Christos
Athanasiadis
University: University of Athens City: Greece Arrival and Departure: Feb 2 - Mar 20, 2020
Arvind
Ayyer
University: Indian Institute of Science City: India Arrival and Departure: Jan 12, Apr 10 - Apr 10, May 3, 2020
Spencer
Backman
University: University of Vermont City: United States Arrival and Departure: Feb 28 - Mar 12, 2020
Sara
Billey
University: University of Washington City: United States Arrival and Departure: Jan 12 - Feb 6, 2020
Anders
Björner
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 13 - Mar 13, 2020
Francesco
Brenti
University: Universita di Roma Tor Vergata City: Italy Arrival and Departure: Jan 15 - Apr 10, 2020
Petter
Brändén
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 13 - Apr 30, 2020
Angela
Carnevale
University: National University of Ireland Galway City: Ireland Arrival and Departure: Jan 13 - Mar 13, 2020
Sunil
Chhita
University: Durham University City: United Kingdom Arrival and Departure: Jan 27 - Jan 31, 2020
Anders
Claesson
University: University of Iceland City: Island Arrival and Departure: Jan 12 - Mar 11, 2020
Sylvie
Corteel
University: Université Paris Diderot, Paris 7 City: France Arrival and Departure: Jan 16, Feb 21 - Feb 1, Mar 5, 2020
Surjadipta
De Sarkar
University: Indian Institute of Science City: India Arrival and Departure: Jan 31, Apr 10 - Apr 10, May 3, 2020
Alexander
Engström
University: Aalto University City: Finland Arrival and Departure: Jan 27 - Mar 13, 2020
Christopher
Eur
University: University of California, Berkeley City: United States Arrival and Departure: Feb 23 - Mar 13, 2020
Ilse
Fischer
University: University of Vienna City: Austria Arrival and Departure: Jan 26 - Feb 22, 2020
Afshin
Goodarzi
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 13 - Mar 19, 2020
Darij
Grinberg
University: Drexel University City: United States Arrival and Departure: Jan 14 - Mar 31, 2020
Pamela
Harris
University: Williams College City: United States Arrival and Departure: -
Angela
Hicks
University: Lehigh University City: United States Arrival and Departure: Jan 13 - Mar 12, 2020
Cecilia
Holmgren
University: Uppsala University City: Sweden Arrival and Departure: Jan 27 - Jan 31, 2020
Alexander
Holroyd
University: Microsoft Research Redmond City: United States Arrival and Departure: -
Axel
Hultman
University: Linköping University City: Sweden Arrival and Departure: Jan 27, Jan 12 - Mar 13, Jan 17, 2020
Svante
Janson
University: Uppsala University City: Sweden Arrival and Departure: Jan 27 - Jan 31, 2020
Katharina
Jochemko
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 13 - Mar 13, 2020
Kurt
Johansson
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: -
Matthieu
Josuat-Verges
University: Université Paris-Est Marne-la-Vallée City: France Arrival and Departure: -
Ezgi
Kantarci Oguz
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 13 - Mar 13, 2020
Jang
Soo Kim
University: Sungkyunkwan University City: South Korea Arrival and Departure: Jan 19 - Mar 19, 2020
Florian
Kohl
University: Aalto University City: Finland Arrival and Departure: Jan 12 - Mar 7, 2020
Matjaz
Konvalinka
University: University of Ljubljana City: Arrival and Departure: Jan 12 - Jan 31, 2020
Khazhgali
Kozhasov
University: TU Braunschweig City: Arrival and Departure: -
Christian
Krattenthaler
University: University of Vienna City: Austria Arrival and Departure: Jan 26 - Feb 28, 2020
Jonathan
Leake
University: University of California, Berkeley City: United States Arrival and Departure: Jan 13 - Mar 22, 2020
Svante
Linusson
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 13 - Apr 30, 2020
Gaku
Liu
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 27 - Jan 31, 2020
Olya
Mandelshtam
University: Brown University City: United States Arrival and Departure: Jan 13 - Mar 6, 2020
James
Martin
University: University of Oxford City: United Kingdom Arrival and Departure: Jan 12 - Feb 1, 2020
Ivan
Martino
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 13 - Mar 13, 2020
Alejandro
Morales
University: University of Massachusetts Amherst City: United States Arrival and Departure: Jan 17 - Feb 1, 2020
Jennifer
Morse
University: University of Virginia City: United States Arrival and Departure: Apr 3 - May 1, 2020
Philippe
Nadeau
University: Université Lyon 1 City: France Arrival and Departure: -
Igor
Pak
University: University of California, UCLA City: United States Arrival and Departure: Jan 26, Feb 16 - Feb 2, Mar 22, 2020
Greta
Panova
University: University of Pennsylvania City: United States Arrival and Departure: Mar 10 - Mar 25, 2020
Samu
Potka
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 27 - Mar 13, 2020
Anna
Ying Pun
University: University of Virginia City: United States Arrival and Departure: Jan 13 - Mar 13, 2020
Mohan
Ravichandran
University: Bogazici University City: Turkey Arrival and Departure: Feb 3, Apr 10 - Apr 10, Apr 23, 2020
Petter
Restadh
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 27 - Mar 13, 2020
Thomas
Roby
University: University of Connecticut City: United States Arrival and Departure: Feb 9, Mar 16 - Mar 16, Mar 22, 2020
Raman
Sanyal
University: Goethe University Frankfurt am Main City: Germany Arrival and Departure: -
Anne
Schilling
University: University of California City: United States Arrival and Departure: Jan 25 - Feb 29, 2020
Liam
Solus
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 13 - Mar 13, 2020
Andrea
Sportiello
University: Université Paris 13 City: France Arrival and Departure: Apr 5 - Apr 25, 2020
Nikhil
Srivastava
University: University of California, Berkeley City: United States Arrival and Departure: -
Richard
Stanley
University: Massachusetts Institute of Technology, MIT City: United Kingdom Arrival and Departure: -
Jessica
Striker
University: North Dakota State University City: United States Arrival and Departure: -
Robin
Sulzgruber
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Jan 12 - Feb 1, 2020
Bridget
Tenner
University: DePaul University City: United States Arrival and Departure: Feb 2 - Feb 15, 2020
Vasu
Tewari
University: University of Pennsylvania City: United States Arrival and Departure: Jan 13 - Mar 20, 2020
Cynthia
Vinzant
University: North Carolina State University City: United States Arrival and Departure: -
Stephan
Wagner
University: Uppsala University City: Sweden Arrival and Departure: -
Lauren
Williams
University: University of California, Berkeley City: United States Arrival and Departure: -
Benjamin
Young
University: University of Oregon City: United States Arrival and Departure: Jan 12 - Mar 13, 2020

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