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The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun. The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.
All entries new for each edition. Miller's Collectables Handbook & Price Guide 2021-2022 is the up-to-date guide to the collectables market no dealer, collector or auctioneer should be without. Featuring more than 4,000 objects in full colour, each with a detailed description and price range, the book also shows you how to spot that rare example that may be worth twenty times more than another piece. In-depth features explain why one piece is worth more than another, show how to value an item and teach you to be your own expert when appraising everything from 20th-century glass to costume jewellery. Comprehensive sections cover a wide range of objects, with additional pages on pencils, toys, vintage handbags, trunks and costume jewellery for this edition. Every entry and image is updated for each edition to keep the book up-to-date with collecting and buying trends. Miller's Collectables Handbook & Price Guide 2021-2022 is the only full-colour, fully-illustrated collectables price guide in the world.
As early-twentieth-century Chicago swelled with an influx of at least 250,000 new black urban migrants, the city became a center of consumer capitalism, flourishing with professional sports, beauty shops, film production companies, recording studios, and other black cultural and communal institutions. Davarian Baldwin argues that this mass consumer marketplace generated a vibrant intellectual life and planted seeds of political dissent against the dehumanizing effects of white capitalism. Pushing the traditional boundaries of the Harlem Renaissance to new frontiers, Baldwin identifies a fresh model of urban culture rich with politics, ingenuity, and entrepreneurship. Baldwin explores an abun...