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The CIME workshop, with the support of CIRM, will feature five courses: Perfectoid spaces and the homological conjectures, Linquan Ma, Purdue University Defining equations of blowup algebras, Claudia Polini, University of Notre Dame Homological invariants of determinantal rings, Claudiu Raicu, University of Notre Dame Regularity bounds, Matteo Varbaro, Università di Genova Adams operations in commutative algebra, Mark Walker, University of Nebraska