The school will introduce commutative algebra and algebraic geometry in prime characteristics and their relationship with complex algebraic geometry. There have been many important developments in these fields during the last three decades.  There will be four courses of lectures to highlight some of these developments related to vector bundles and tight closure, singularities in prime characteristics, F-signature and Hilbert-Kunz multiplicity and study of singularities via Big Cohen-Macaulay (BCM)-algebras, perfectoid spaces and Frobenius splitting.

Topics:

• Vector bundles and tight closure
• Singularity invariants in positive characteristic
• Singularities via BCM Algebras
• F-singularities — applications of characteristic p methods to singularity theory

Confirmed Speakers:
Holger BRENNER, University of Osnabrueck, Germany Applicants are encouraged to submit an abstract to give a contributed talk. During the application please make sure to use our templates to format your abstract. Templates are available below for download.

Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.