Event time:
Monday, April 6, 2026 - 4:30pm
Location:
KT 801
Speaker:
Alexei Oblomkov
Speaker affiliation:
U Mass Amherst
Event description:
In joint work with Lev Rozansky we construct a coherent sheaf realization of the tensor powers of $U_q(gl(1|1))$ vector representation $\mathbb{C}^{1|1}$. The construction reveals the non-semisimple nature of the representation of $U_q(gl(1|1))$. I plan to explain how this
construction extends to а wider class of the representations. The origin of the construction is a boson/fremion correspondence in physics context and Legandre transformation in the mathematical context.