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Let $G$ be a connected reductive group over $\mathbb{C}$. Let $F=\mathbb{C}((t))$ and $\bar{F}$ its algebraic closure. Let $c$ be a Cartan subalgebra of $g$ and $N$ its normalizer. It is written in Fi …

I have a few questions with respect to Bezrukavnikov's proof of the dimension formula for affine springer fibers in Fixed point set on affine flag manifolds. The setting is as follows: Let G be a redu …

Let $X$ be a smooth curve over $\mathbb{C}$. I wish to compute the deformation of the following data $(E,F,x)$. $E$ and $F$ are locally free sheaves over $X$ and $x$ is a point on $X$. They satisfy: …

Let $G$ be a semisimple algebraic group over the complex numbers and we fix a maximal torus $T$. Let $w\in W$ be an element in the Weyl group, and let $T^{w}$ be the elements in $T$ that are fixed by …