Event time:
Thursday, February 19, 2026 - 4:30pm
Location:
KT 801
Speaker:
Sunghyuk Park
Speaker affiliation:
CMSA Harvard
Event description:
Abstract: I will describe a construction of a q-series invariant (BPS q-series, also known as the Z-hat invariant) associated to a 3-manifold decorated by an embedded link. These q-series depend only on the class of the link in the skein module, and hence define a homomorphism from the skein module to the space of q-series. The image of this homomorphism is conjectured to exhibit holomorphic quantum modularity, which suggests a new approach to Langlands duality for skein modules via q-series.