Mathematics Seminar at ICTP - Tuesday 9 July at 16:00 (Manjil SAIKIA)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2019


Tuesday 9 July, at 16:00 hrs.


Speaker: Manjil Saikia (University of Vienna)


Title: The story of alternating sign matrices… so far


Abstract: The sequence of numbers 1,2,7,42, 429, ... 
(http://oeis.org/A005130) counts several remarkable combinatorial 
objects, one of which is alternating sign matrices (ASMs). These 
matrices have become an object of fervent study by combinatorialists 
because of the inherent simplicity and beauty of enumerative results 
related to them which are notoriously difficult to prove. I will give a 
brief history of how these objects were introduced and eventually 
enumerated, which will already lead to connections with other areas 
(most notably lattice models in statistical physics). In the second 
part, I will speak about recent joint work with Ilse Fischer that gives 
several new refined enumeration results for symmetry classes of ASMs. 
The talk will be self-contained.


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)

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Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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