Haoming Ning, UW
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PDL C-401
Walking around the department, you might hear murmurs of strange words like “Du Bois complexes” and “higher Du Bois singularities”. What are those? Has anyone ever bothered giving their definitions?! In this talk, we will do the unthinkable — introduce the Du Bois complex and cubical hyperresolutions through a series of concrete examples. Along the way, we will discuss its Hodge theoretic origins and explore its profound applications towards MMP, vanishing theorems, and moduli theory.