Our team won Bulgarian National Science Fund for research project "Friezes in Algebra, Category Theory, Combinatorics, and Dynamical Systems".
Talks:
June 5, 2025, Wonwoo Kang: Introduction to cluster algebras and A and X type cluster varieties.
June 12, 2025, Emine Yıldırım: Introduction to friezes.
June 19, 2025, Deepanshu Prasad: Introduction to Auslander-Reiten theory, part I.
June 23, 2025, Alessandro Contu: Cluster structures on schemes of bands, part I.
June 25, 2025, Nicola Bellumat: Categorification of Z[1/2], part I.
June 30, 2025, Deepanshu Prasad: Introduction to Auslander-Reiten Theory, part II.
July 2, 2025, Nicola Bellumat: Categorification of Z[1/2], part II.
July 23, 2025, Alessandro Contu: Cluster structures on schemes of bands, part II.
August 4, 2025, Deepanshu Prasad: Introduction to Auslander-Reiten Theory, part III.
August 8, 2025, Nicola Bellumat: Categorification of Z[1/2], part III.
August 11, 2025, Deepanshu Prasad: Introduction to Auslander-Reiten Theory, part IV.
August 20, 2025, Wonwoo Kang, Unimodality from Cluster Algebra.
September 5, 2025, Yunmeng Wu, Laurent Phenomenon Algebras, part I.
September 10, 2025, Yunmeng Wu, Laurent Phenomenon Algebras, part II.
September 12, 2025, Emine Yıldırım, Cluster Character Maps for 2-Calabi-Yau Categories, part I.
September 19, 2025, Emine Yıldırım, Cluster Character Maps for 2-Calabi-Yau Categories, part II.
September 26, 2025, Alessandro Contu, Poisson structures on Bott-Samelson varieties, part I.
October 10, 2025, Alessandro Contu, Poisson structures on Bott-Samelson varieties, part II.
October 24, 2025, Alessandro Contu, Poisson structures on Bott-Samelson varieties, part III.
November 14, 2025, Ivan Dimitrov, Generalized Root Systems, part I.
November 21, 2025, Ivan Dimitrov, Generalized Root Systems, part II.
November 26, 2025, Ivan Dimitrov, Generalized Root Systems, part III.
Talks given by Team members:
August 18-31, 2025, Emine Yıldırım, "Cluster Structures: Lecture Series I, II, III", Summer School on Markov Numbers and Cluster Algebras.
November 11, 2025, Emine Yıldırım, "Pictures I like in algebra", ICMS Seminar.
November 25, 2025, Deepanshu Prasad, "An Extension of Sato-Kimura Theorem for Semi-invariant rings", ICMS Seminar.
December 4, 2025, Wonwoo Kang, "Generalized Cluster Algebras from Orbifolds and their Bases", UNIST Number Theory Group, UNIST.
January 9, 2026, Emine Yıldırım, "Lattice of Pretorsion classes", Flash Talks in Representation Theory VI.
January 28, 2026, Emine Yıldırım, "Pretorsion theory in module categories", Algebra and Geometry Seminar, University of Graz.
February 12, 2026, Emine Yıldırım, "Pretorsion theories", Representation Theory of Quivers and Finite-Dimensional Algebras, Oberwolfach.
March 26, 2026, Emine Yıldırım, "Categorification of webs beyond Plücker coordinates", Banff International Research Station.
March 30, 2026, Emine Yıldırım, "Lattices from representation theory of algebras", Algebra and Geometry Seminar, Queen's University, ON.
April 10, 2026, Emine Yıldırım, "A mirror deformation of Markov numbers", LaCIM Seminar, Université du Québec à Montréal.
April 23, 2026, Emine Yıldırım, "A mirror deformation of Markov numbers", Farey's legacy in frieze patterns and discrete geometry.
April 24, 2026, Deepanshu Prasad, "Growth of infinite T-friezes of affine type", Farey's legacy in frieze patterns and discrete geometry.
Conferences Attended by Team Members:
December 1-5, 2025, Emine Yıldırım, "Beyond Permutahedra and Associahedra", CIRM, France.
January 9, 2026, Emine Yıldırım, "Flash Talks in Representation Theory VI".
February 8-13, 2026, Emine Yıldırım, "Representation Theory of Quivers and Finite-Dimensional Algebras", Oberwolfach, Germany.
March 23-27, 2026, Emine Yıldırım, "Cluster Algebras, Webs, and Canonical Bases", Banff International Research Station, Canada.
April 20-24, 2026, Wonwoo Kang, Deepanshu Prasad and Emine Yıldırım, "Farey's legacy in frieze patterns and discrete geometry", ICMS Edinburgh.
Research Visits by Team Members:
25-30 January 2026, Emine Yıldırım visited Eleonore Faber in University of Graz.
30 March-6 April 2026, Emine Yıldırım visited Charles Paquette and Ivan Dimitrov at Queen's University.
7-10 April 2026, Emine Yıldırım visited Hugh Thomas at Université du Québec à Montréal.
Visiting Researcher at ICMS - Sofia:
Ivan Dimitrov, 10 May - 13 June 2026.
Francesca Fedele, 11-18 May 2026.
Gordana Todorov, 14-29 May 2026.
Job Daisie Rock, 17-21 August 2026.