The Hirst Prize and Lectureship for the History of Mathematics is awarded for contributions to th e study of the history of mathematics. The prize i s awarded in recognition of original and innovativ e work in the history of mathematics\, which may b e in any medium. This prize is awarded jointly by the LMS and the British Society for the History of Mathematics .
\n \nProgramme (all time s BST)
\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n14:30 | Op ening of meeting |
14:45 | \n Jeremy Gray&nb sp\;(The Open University) \n \nF.S. Macaulay and modern commutative algebra \n |
15:45 | BREAK |
16: 15 | \n Erhard Scholz (Bergische Universitä\;t Wuppertal) \n \nFrom Grassmann complements to Hodge duality \n \nHirst Lecture \n |
17:15 | END |
Abstracts
\n \nJeremy Gray \;(The Open University)
\n F.S. Macaulay and modern commutative
algebra
This talk\, which is based on joint work with David Eisenbud in Berkele y\, discusses the life and work of the English alg ebraic geometer Francis Sowerby Macaulay (1862--19 37). His early work on plane algebraic curves is a response to that of Max Noether and Alexander Bri ll\, and attempts to extend it in a more rigorous way to arbitrary plane curves. He was invited to s peak at the Heidelberg ICM in 1904\, but his ideas were naï\;ve and he then plunged into a deep study of what\, in modern terms\, are ideals in po lynomial rings in any number of dimensions. The cr ucial theorem here is Lasker'\;s primary decomp osition theorem (1905)\, which Macaulay explored i n his breakthrough paper of 1913 and in his Cambri dge Tract of 1916\, where he introduced many ideas that interested Emmy Noether and her followers in the 1920s. In his final paper (1934) he repaid th e compliment by being the first to present many of Emmy Noether&rsquo\;s ideas to an English audienc e.
\n \nErhard Scholz (Bergische Universitä\;t Wuppertal
\n From Grassmann complements to Hodge duality\n \n
When William D. Hodge&rsquo\;s intr oduced the duality named after him between alterna ting forms on Riemanian manifolds in the early 193 0s (the Hodge-* operator) related ideas in Maxwell ian electrodynamics and the linearalgebra of the 1 9th century had prepared this move from different sides. M. Atiyah emphasized the first background ( electromagnetism) in his talks\, while it remains largely unnoticed that already Hermann Grassmann h ad introduced a linear algebraic precursor of the *-operator in his study of \;extensive quantit ies \;(&bdquo\;Ausdehnungsgrö\;ssen&ldquo\ ;) in 1866. \;Grassmann talked about \;it& nbsp\;as \;the respective \;complement&nbs p\;(&bdquo\;Ergä\;nzung&ldquo\;) \;of an a lternating product. \;In this talk I will give a short outline of the long story of this concept between Grassmann and Hodge.
\n \nPlease note that if you have any accessibili ty requirements then more information about the ve nue'\;s accessibility can be found here.
\n \nWe wo uld also be grateful if you could advise us of any special requirements via the registration form.\n \n
Please note that if you have a ny accessibility requirements then more informatio n about the venue'\;s accessibility can be foun d here.
\n \nWe would also be grateful if you could ad vise us of any special requirements via the regist ration form.
\n \n\;
DESCRIPTION:\n The LMS is delighted to announce the 2024 Spita lfields History of Mathematics Meeting and Hirst L ecture\, comprising two lectures\, by Professor Je remy Gray (The Open University) and Professor Erha rd Scholz (Bergische Universität Wuppertal). The m eeting features the Hirst Lecture 2024\, given by the winner of the Joint LMS-BSHM Hirst Prize and L ectureship 2023\, Professor Scholz.\n \n \n \n The Hirst Prize and Lectureship for the History of Ma thematics is awarded for contributions to the stud y of the history of mathematics. The prize is awar ded in recognition of original and innovative work in the history of mathematics\, which may be in a ny medium. This prize is awarded jointly by the LM S and the British Society for the History of Mathe matics (https://www.bshm.ac.uk/).\n \n \n \n \n Pr ogramme (all times BST)\n \n \n \n \n \n \n 14:30\n Opening of meeting\n \n \n \n 14 :45\n \n Jeremy Gray (The Open University)\n \n \n \n F.S. Macaulay and modern commutative algebra\n \n \n \n \n \n \n 15:45\n B REAK\n \n \n \n 16:15\n \n Erhard Sch olz (Bergische Universität Wuppertal)\n \n \n \n From Grassmann complements to Hodge duality\n \n \n \n Hirst Lecture\n \n \n \n \n \n \n 17:15\n END\n \n \n \n \n \n Abstracts \ n \n \n \n Jeremy Gray (The Open University)\n \n F.S. Macaulay and modern commutative algebra\n \n \n \n This talk\, which is based on joint work wit h David Eisenbud in Berkeley\, discusses the life and work of the English algebraic geometer Francis Sowerby Macaulay (1862--1937). His early work on plane algebraic curves is a response to that of Ma x Noether and Alexander Brill\, and attempts to ex tend it in a more rigorous way to arbitrary plane curves. He was invited to speak at the Heidelberg ICM in 1904\, but his ideas were naïve and he then plunged into a deep study of what\, in modern ter ms\, are ideals in polynomial rings in any number of dimensions. The crucial theorem here is Lasker' s primary decomposition theorem (1905)\, which Mac aulay explored in his breakthrough paper of 1913 a nd in his Cambridge Tract of 1916\, where he intro duced many ideas that interested Emmy Noether and her followers in the 1920s. In his final paper (19 34) he repaid the compliment by being the first to present many of Emmy Noether’s ideas to an Englis h audience.\n \n \n \n Erhard Scholz (Bergische Un iversität Wuppertal\n \n From Grassmann complement s to Hodge duality\n \n \n \n When William D. Hodg e’s introduced the duality named after him between alternating forms on Riemanian manifolds in the e arly 1930s (the Hodge-* operator) related ideas in Maxwellian electrodynamics and the linearalgebra of the 19th century had prepared this move from di fferent sides. M. Atiyah emphasized the first back ground (electromagnetism) in his talks\, while it remains largely unnoticed that already Hermann Gra ssmann had introduced a linear algebraic precursor of the *-operator in his study of extensive quant ities („Ausdehnungsgrössen“) in 1866. Grassmann ta lked about it as the respective complement („Ergän zung“) of an alternating product. In this talk I w ill give a short outline of the long story of this concept between Grassmann and Hodge.\n \n \n \n \ n Please note that if you have any accessibility r equirements then more information about the venue' s accessibility can be found here (http://chrome-e xtension://efaidnbmnnnibpcajpcglclefindmkaj/https: //www.demorganhouse.org.uk/wp-content/uploads/2023 /05/Accessibility-Guide-DMH_London-Mathematical-So ciety.pdf).\n \n \n \n We would also be grateful i f you could advise us of any special requirements via the registration form.\n \n \n \n \n Please no te that if you have any accessibility requirements then more information about the venue's accessibi lity can be found here (http://chrome-extension:// efaidnbmnnnibpcajpcglclefindmkaj/https://www.demor ganhouse.org.uk/wp-content/uploads/2023/05/Accessi bility-Guide-DMH_London-Mathematical-Society.pdf). \n \n \n \n We would also be grateful if you could advise us of any special requirements via the reg istration form.\n \n \n \n \n \n \n CATEGORIES:Meeting CALSCALE:GREGORIAN DTSTAMP;TZID=Europe/London:20240426T143000 DTSTART;TZID=Europe/London:20240426T143000 DTEND;TZID=Europe/London:20240426T171500 LOCATION:Online via Zoom / In person at De Morgan House\n D e Morgan House\, 57-58 Russell Square\n London\, W C1B 4HS\n United Kingdom\n ORGANIZER:MAILTO:lmsmeetings@lms.ac.uk URL:https://www.lms.ac.uk/civicrm/event/info?reset=1&id=111 END:VEVENT END:VCALENDAR