Contents Preface vii The stability manifolds of P1 and local P1 Aaron Bertram, Steffen Marcus, and Jie Wang 1 Reduced limit period mappings and orbits in Mumford-Tate varieties Mark Green and Phillip Griffiths 19 The primitive cohomology of theta divisors Elham Izadi and Jie Wang 79 Neighborhoods of subvarieties in homogeneous spaces Janos ´ Koll´ 91 Unconditional noncommutative motivic Galois groups Matilde Marcolli and Gonc ¸alo Tabuada 109 Differential equations in Hilbert-Mumford Calculus Ziv Ran 117 Weak positivity via mixed Hodge modules Christian Schnell 129 v
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