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MATRIX Research Program: Low Dimensional Topology – Invariants of Links, Homology Theories, and Complexity

MATRIX Research Program: Low Dimensional Topology – Invariants of Links, Homology Theories, and Complexity

Start Date

June 3, 2024

End Date

June 22, 2024

Organizer

MatriX

Registration

Closed

Matrix Research Program: Low Dimensional Topology – Invariants of Links, Homology Theories, and Complexity
Dates: 3—22 June 2024
Venue: MATRIX, Creswick
Website: https://www.matrix-inst.org.au/events/low-dimensional-topology-invariants-of-links-homology-theories-and-complexity/

This three-week event will bring together world-leading specialists in knot theory for a focused research program promoting collaboration between mathematicians at all career stages. The first two weeks will be focused exclusively on research in small groups mixing PhD students, early career researchers, and established scientists. Projects topics include the generalised Kauffman–Harary Conjecture; the long exact sequence and complexity in Khovanov homology; and the interplay between character varieties, skein modules, ?-polynomials, quantum invariants, and hyperbolic geometry. The third week will offer a conference featuring current topics in the study of virtual links, Khovanov homology, the coloured Jones polynomial, and 3-manifold links. Participation in the conference will be by invitation due to the residential setting at MATRIX’s Creswick campus, and the format will mix research seminars and ample time for discussion with anexplicit goal of establishing long-lasting collaborations.

This MATRIX Research Program is partially supported by AMSI and AustMS through the AMSI-AustMS Workshop Funding program, and benefits from the SMRI International Visitor Program.

Organisers

  • Dr Dionne Ibarra (Monash University)
  • Associate Professor Joan Licata (Australian National University)
  • Dr Gabriel Montoya-Vega (CUNY Graduate Center)

Registration:

  • Registration is now closed
  • Arrival date: 2 June 2024
  • Departure date: 21 June 2024

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 4 June 2024
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.