Topological, Computational, and Algebraic Aspects of Complex Systems

3 11, 2025

Workshop “Recent developments in modern Hodge theory”

2025-12-09T12:21:56+02:00November 3rd, 2025|Conferences, Topological, Computational, and Algebraic Aspects of Complex Systems|

The workshop brings together a focused group of researchers working across non-Kähler complex geometry, Hodge-theoretic and categorical structures, quantum and irregular phenomena, and mirror symmetry. The goal is to clarify and refine a set of ideas that appear as “atomic” components across these areas, and to create space for concentrated discussion and collaboration. The program combines extended sessions, research talks, and blackboard discussions. The setting is intended to be mathematically rigorous, collegial, and oriented toward identifying new structures and open directions.

22 10, 2025

Sandpiles and Tropical Geometry, Specialized PhD Course

2025-10-22T11:47:18+03:00October 22nd, 2025|Topological, Computational, and Algebraic Aspects of Complex Systems|

This course examines the intersection of Abelian Sandpile Theory and Tropical Geometry—two frameworks revealing how discrete local rules generate global geometric order. Offered by the Topological and Geometric Complexity Group at ICMS Sofia, the course welcomes doctoral students and researchers interested in the geometric foundations of complex systems.

7 10, 2025

Symposium “Entanglements of Logic, Data, and Complexity”

2025-11-07T20:06:23+02:00October 7th, 2025|Conferences, Topological, Computational, and Algebraic Aspects of Complex Systems|

The Symposium on Complex Systems, Data, and Topology is a four-day gathering exploring the frontiers of mathematics, machine learning, geometry, and real-world complexity. Set within the vibrant intellectual atmosphere of ICMS Sofia, the symposium brings together a select group of international researchers to discuss new ideas, paradigms, and tools shaping the future of science and computation.

19 09, 2025

Recent Developments on Tropical Sandpiles and Related Subjects, workshop

2025-09-24T07:59:25+03:00September 19th, 2025|Topological, Computational, and Algebraic Aspects of Complex Systems|

Tropical sandpiles stand at the crossroads of mathematics, computer science, machine learning, algebra, physics, and mathematical logic. Originating from models of self-organized criticality, they reveal intricate combinatorial and geometric structures that echo through algebraic geometry and tropical mathematics. Their dynamics connect to complexity theory and algorithmic design in computer science, while also inspiring methods in statistical mechanics and the study of complex systems in physics. More recently, tropical sandpile models have begun to interact with approaches in data science and machine learning. At the same time, their formal underpinnings invite connections to logic and the foundations of computation — providing a common language where diverse disciplines converge.

7 07, 2025

Inaugural Colloquium – Topological, Computational & Algebraic Aspects of Complex Systems

2025-07-08T09:39:28+03:00July 7th, 2025|News, Topological, Computational, and Algebraic Aspects of Complex Systems|

The research group “Topological, Computational & Algebraic Aspects of Complex Systems” launches its 2025 activity with a one-day colloquium at the International Center for Mathematical Sciences – Sofia (ICMS). Three talks will highlight recent advances in birational geometry, tropical sandpiles, and quantum toric geometry.

3 06, 2025

Elliptic genus and applications, lecture by E. Lupercio

2025-06-04T10:25:31+03:00June 3rd, 2025|ICMS Seminar, Topological, Computational, and Algebraic Aspects of Complex Systems|

Ernesto Lupercio(IMI-BAS)

Friday, June 6, room 403, IMI-BAS. 16:00

In this course we will connect the theory of Topological modular forms with classical singularity theory. Other applications will be considered.
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