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Hodge conjecture for singular varieties - Kaur, Inder (Author of the conference) | CIRM H

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The classical Hodge conjecture for smooth, projective varieties has been open for over 70 years, although it has been proven for some specific varieties. In this talk I will discuss a cohomological version of the Hodge conjecture for singular varieties. I will give a sufficient condition in terms of Mumford-Tate groups for a variety to satisfy the singular Hodge conjecture. If time allows I will give explicit examples of such varieties. This is joint work with Ananyo Dan.[-]
The classical Hodge conjecture for smooth, projective varieties has been open for over 70 years, although it has been proven for some specific varieties. In this talk I will discuss a cohomological version of the Hodge conjecture for singular varieties. I will give a sufficient condition in terms of Mumford-Tate groups for a variety to satisfy the singular Hodge conjecture. If time allows I will give explicit examples of such varieties. This is ...[+]

14C30 ; 32S35

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