2 problems

Hausel's K-theoretic conjecture. The ring of invariant functions is, as an algebra over $\mathbb C[\mathrm G]^{\mathrm G}\cong K^0_{\mathrm G}(\operatorname{pt})\otimes\mathbb C$,…

Let $\mathrm G$ be a principally paired group acting regularly on a smooth projective variety $X$. Define the fixed point scheme $\operatorname{Fix}_{\mathrm G}(X)$ by the conditio…