@inproceedings{d430939bfc08431897d93e9a517ffb05,
title = "D-modules in birational geometry",
abstract = "It is well known that numerical quantities arising from the theory of D-modulesare related to invariants of singularities in birational geometry. This paper surveysa deeper relationship between the two areas, where the numerical connections areenhanced to sheaf theoretic constructions facilitated by the theory of mixed Hodgemodules. The emphasis is placed on the recent theory of Hodge ideals.",
author = "Mihnea Popa",
note = "Funding Information: The author was partially supported by the NSF grant DMS-1700819. MSC2010: primary 14F10; secondary 14J17, 32S25, 14F17, 14F18, 14C30. Publisher Copyright: {\textcopyright} Proceedings of the International Congress of Mathematicians, ICM 2018. All rights reserved.; 2018 International Congress of Mathematicians, ICM 2018 ; Conference date: 01-08-2018 Through 09-08-2018",
year = "2018",
language = "English (US)",
series = "Proceedings of the International Congress of Mathematicians, ICM 2018",
publisher = "World Scientific Publishing Co. Pte Ltd",
pages = "799--824",
editor = "Boyan Sirakov and {de Souza}, {Paulo Ney} and Marcelo Viana",
booktitle = "Invited Lectures",
address = "Singapore",
}