# Algebraic Geometry: Salt Lake City 2015 (Parts 1 and 2)

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*Tommaso de Fernex; Brendan Hassett; Mircea Mustaţă; Martin Olsson; Mihnea Popa; Richard Thomas*

A co-publication of the AMS and Clay Mathematics Institute

Since Oscar Zariski organized a meeting in 1954, there has
been a major algebraic geometry meeting every decade: Woods Hole
(1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle
(2005). The American Mathematical Society has supported these summer
institutes for over 50 years. Their proceedings volumes have been
extremely influential, summarizing the state of algebraic geometry at
the time and pointing to future developments.

The most recent Summer Institute in Algebraic Geometry was held
July 2015 at the University of Utah in Salt Lake City, sponsored by
the AMS with the collaboration of the Clay Mathematics
Institute. These volumes include surveys growing out of plenary
lectures and seminar talks during the meeting. Some present a broad
overview of their topics, while others develop a distinctive
perspective on an emerging topic.

Topics span both complex algebraic geometry and arithmetic
questions, specifically, analytic techniques, enumerative geometry,
moduli theory, derived categories, birational geometry, tropical
geometry, Diophantine questions, geometric representation theory,
characteristic \(p\) and \(p\)-adic tools, etc. The
resulting articles will be important references in these areas for
years to come.

#### Readership

Graduate students and researchers working in algebraic geometry and its applications.