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Combinatorial Representation Theory of Quantum Groups and Coinvariant Algebras — NSF Award to University of Southern California (C

Combinatorics has been described as the nanotechnology of mathematics. It is concerned with counting discrete objects, which naturally arise in many applications. As one example, software development frequently requires choosing between different algorithms to solve a problem. Combinatorics allows one to count the numb

Award titleCombinatorial Representation Theory of Quantum Groups and Coinvariant Algebras
Award ID2348843
AwardeeUniversity of Southern California
CityLOS ANGELES
StateCA
Amount obligated$180,000
Principal investigatorGreta Panova
ProgramCombinatorics
Start date07/01/2024
AbstractCombinatorics has been described as the nanotechnology of mathematics. It is concerned with counting discrete objects, which naturally arise in many applications. As one example, software development frequently requires choosing between different algorithms to solve a problem. Combinatorics allows one to count the number of steps each candidate algorithm takes and then choose the best solution. In this way, combinatorics provides a set of basic tools and a collection of argument prototypes that
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