{"id":53898,"date":"2023-06-02T12:00:00","date_gmt":"2023-06-02T11:00:00","guid":{"rendered":"http:\/\/cupblog.bluefusesystems.com\/?p=53898"},"modified":"2023-07-31T11:38:03","modified_gmt":"2023-07-31T10:38:03","slug":"introducing-moduli","status":"publish","type":"post","link":"https:\/\/www.cambridge.org\/core\/blog\/2023\/06\/02\/introducing-moduli\/","title":{"rendered":"Introducing \u2018Moduli\u2019"},"content":{"rendered":"
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As the Managing Editors, we are pleased to introduce you to Moduli<\/a><\/em>, a new open access mathematics journal owned by the Foundation Compositio Mathematica and published in collaboration with the LMS and Cambridge University Press.<\/p>\n\n\n

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Why a journal on moduli theory? The term \u2018moduli\u2019 first appeared in Riemann\u2019s work to describe the quantities which parameterize (in modern terms) complex structures on a two-dimensional surface. Moduli spaces and their theory are now a fundamental topic that shows up in different forms across much of modern mathematics. Researchers approach the study of moduli problems using a vast array of techniques from algebraic, differential, and arithmetic geometry, combinatorics, dynamical systems, gauge theory, geometric analysis, geometric group theory, mathematical physics, representation theory, and topology. Interactions across these different areas of mathematics are vital and the different perspectives add to the richness of the topic.<\/p>\n\n\n\n

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Our goal with Moduli<\/em> is to create a common forum, to bring researchers from different corners of mathematics together and build a community around the common theme of moduli theory. The journal will facilitate communications across disciplines in a way which subject specific journals might miss. To promote this community-building, the managing editors of Moduli <\/em>also plan to organize a series of events loosely affiliated with the journal. The first such event will be the three-week Summer Workshop in Mathematics taking place on 1 July 2024 \u2013 19 July 2024 at the Simons Center for Geometry and Physics (Stony Brook, NY), which will be dedicated to Moduli<\/em>.<\/p>\n\n\n\n

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The question \u201cThere really is no journal dedicated to moduli theory \u2013 why don’t we create one?\u201d was posed by one of us (J\u00f8rgen) to the steering committee, for the Vector Bundles on Algebraic Curves (VBAC) group, as we were discussing how to cope with retirement of the group’s founder and long-time leader, Peter Newstead. Created in the early 1990s, this group has met for an annual workshop every year with just one small gap in 1995\/1996 and one COVID hiatus in 2021. These annual gatherings anchored and inspired more than one generation of researchers in a broad range of topics. After guiding the group for over thirty years, Peter retired from his active leadership in 2021. While we discussed Peter\u2019s legacy, and life in VBAC without him at the helm, we reflected on how valuable it has been to have a community built around this corner of moduli theory. That is when we realized the potential for an even wider, interdisciplinary community, united around moduli theory more broadly.<\/p>\n\n\n\n

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Four members of the VBAC steering committee were joined by three other researchers in moduli theory to form the founding managing editorial board. We pitched the idea to the Foundation Compositio Mathematica, and Moduli<\/em> was born. The new journal welcomes original research contributions of the highest quality on all aspects of moduli and emphasizes clarity of exposition to enable all papers to bridge as many boundaries as possible, within the target audience.<\/p>\n\n\n\n

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We encourage you and the entire mathematical community to participate in this exciting new venture by submitting high-quality papers in the broad area of moduli spaces and their theory to Moduli<\/em>. We look forward to your submissions (see our website at https:\/\/moduli.nl\/<\/a> for more information, or visit the journal homepage on Cambridge Core<\/a>).<\/p>\n\n\n\n

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Best wishes,<\/p>\n\n\n\n

J\u00f8rgen Ellegaard Andersen, Steve Bradlow, Dan Halpern-Leistner, Vicky Hoskins, Frances Kirwan, Margarida Melo, and Anna Wienhard<\/p>\n\n\n\n

You can register<\/a> to receive the latest content and journal news via email from Moduli<\/em><\/strong><\/p>\n\n\n

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