\$\mathsf{Pr}^\mathrm{L}\$ and stabilization

Jay Reiter
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SIG 227

In this talk, we'll introduce presentable \$\infty\$-categories and the \$\infty\$-category \$\mathsf{Pr}^\mathrm{L}\$. After discussing the adjoint functor theorem, truncation functors, and the symmetric monoidal structure on \$\mathsf{Pr}^\mathrm{L}\$, we'll focus on stable presentable \$\infty\$-categories, and discuss stabilization in \$\mathsf{Pr}^\mathrm{L}\$, the natural t-structure, and pre-stable \$\infty\$-categories.

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