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Colloquium abstracts

Husney Parvez Sarwar
TIFR
October 20, 2016

$K$-theory, Serre dimension of monoid algebras:  We will begin with a question of Gubeladze about Serre dimension of monoid algebras. Then we will see how historically people started thinking about questions on monoid algebras and discuss some result in this direction. In the second part, I will report on a joint work with Amalendu Krishna. Here we answer another question of Gubeladze about $K_1$ of a singular affine scheme (monoid algebra) in affirmative. Then we give an application of our result to a question of Lindel.

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