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Home » The Homological Conjectures: Resolved!

Workshop

The Homological Conjectures: Resolved! March 12, 2018 - March 16, 2018
Series: Hot Topic, Hot Topic
Location: MSRI: Simons Auditorium
Organizers Bhargav Bhatt (University of Michigan), Srikanth Iyengar (University of Utah), Wieslawa Niziol (CNRS, ENS-Lyon), LEAD Anurag Singh (University of Utah)
Description

The homological conjectures in commutative algebra are a network of conjectures that have generated a tremendous amount of activity in the last 50 years. They had largely been resolved for commutative rings that contain a field, but, with the exception of some low dimensional cases, several remained open in mixed characteristic --- until recently, when Yves Andr\'e announced a proof of Hochster's Direct Summand Conjecture. The progress comes from systematically applying Scholze's theory of perfectoid spaces, which had already shown its value by solving formidable problems in number theory and representation theory. One of the goals of the workshop is to cover the ingredients going into the proofs of the Direct Summand Conjecture.

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Tags/Keywords
  • Homological conjectures

  • perfectoid spaces

  • Cohen-Macaulay algebras

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI has preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 510-549-2145 OR directly on their website. Enter the promotional code MATH (this code is not case sensitive). If there is "no availability" it means there are no preferred rates available during your reservation dates.

MSRI has preferred rates at the Hotel Durant, depending on room availability. Reservations may be made by calling 1-800-238-7268 OR directly on their website. When making reservations, guests must request the MSRI preferred rate. Click on "Promo/Corporate Code" at the top of the page and enter the code 123MSRI (this code is not case sensitive).

MSRI has a preferred rate at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount. To book online visit this page. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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