We give an expository overview over recent results on the global structure and geometry of the Newton stratification of the reduction modulo p of Shimura varieties of Hodge type with hyperspecial level structure.

Brett Gary, my champion in chief and a scholar in his own right, coparented our children, cooked delicious food, managed laundry, and also read every word ofthis book.

The severe forms of this disorder, which may extend over weeks and months, are liable to be confused with progressive deteriorating processes, especially so because those symptoms which were wont to be considered by many as positively unfavorable prognostically, may be found here in very deceptive imitations.

It does not cry for proof, what even one burning spark can accomplish in acrefuls of stubble.