Matthew B. Young, Stony Brook University
“Representations of Hall algebras and some applications”
After reviewing the basic theory of Hall algebras, I will present a new construction of representations using duality functors. In the case of Hall algebras of quivers, I will show that this construction leads to representations of twisted quantum Kac-Moody algebras. Finally, I will discuss applications to enumerative problems related to moduli spaces of self-dual quiver representations.
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