Preface
Rationally connected varieties
CAROLINA ARAUJO
Contents
A first glimpse at the minimal model program
Vll
1
CHARLES CADMAN, izzET Co§KUN, KELLY JABBUSCH, MICHAEL JoYcE,
SANDOR KovAcs, MAx LIEBLICH, FUMITOSHI SATO, MATT SzczESNY, AND
JING ZHANG
17
Derived categories of sheaves: A skimming
ANDREI CALDARARU
43
The arithmetic and geometry of Kobayashi hyperbolicity
izzET CO§KUN
77
Multiplier ideals in algebraic geometry
SAMUEL GRUSHEVSKY
89
Mikhalkin's classification of M-curves in maximal position with respect to
three lines
DAVID LEHAVI
107
Groupoids and quotients in algebraic geometry
MAX LIEBLICH
119
Two degeneration techniques for maps of curves
BRIAN 0SSERMAN
137
Rigid-analytic geometry and the uniformization of abelian varieties
MIHRAN PAPIKIAN
145
Geometric invariant theory and projective toric varieties
NICHOLAS PROUDFOOT
161
An introduction to equivariant cohomology and homology, following Goresky,
Kottwitz, and MacPherson
JULIANNA TYMOCZKO
169
v
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