Thursday, December 12 2019
15:30 - 16:30

#### Let $S$ be a very general sextic surface over complex numbers.Let $\mathcal{M}(H, c_2)$ be the moduli space of rank $2$ stable bundles on $S$ with fixed first Chern class $H$ and second Chern class $c_2$. Inthis talk we will introduce a new approach using Alexander-HirschowitzTheorem to give a bound of the space of obstructions of a point $E \in\mathcal{M}(H, c_2)$ and we will apply this to proof Mestrano -Simpsonconjecture on number of irreducible components of $\mathcal{M}(H, 11)$.

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