The operation of integration is almost - but not quite - the inverse of
differentiation, and this relation between the two operations is obviously of
fundamental importance. This class will be about almost inverses in higher
dimensions, for instance almost-inverses for Laplace’s operator from physics,
even in curved spaces. I shall present a simple and elegant approach to this
topic that is due to Erik van Erp and Robert Yuncken, which uses what I shall
call scalable operators. [For the experts: scalable operators turn out to be the
same thing as classical pseudodifferential operators; in effect, van Erp and
Yuncken created a simple, conceptual and geometric approach to these
operators.] Differential operators are included within the scalable operators,
but so is the operation of integration, along with the other integral operators
that feature in Hilbert’s spectral theory. In this way, this class will be a
natural continuation of the class that I taught in May. However all students
are welcome to join this class, whether or not they attended the May class.

参加申込用URL：https://forms.gle/3YnaXbo2FQJLB6HJ7
締切日：10月23日 （水）

※数学・数理科学グローバル講義Ⅱは数学・数理科学イノベーション人材育成強化コースにおける中核科目です。

※数学・数理科学グローバル講義Ⅱを履修するにはKULASISでの履修登録が必要です。
後期科目の履修登録期間は10月10日（木）・11日（金）。

※履修登録していなくても聴講（本学学生に限る）可（申込みは必要）。

数学・数理科学グローバル講義Ⅱでは４名の講師による特別講義が開講されます。
各特別講義のアブストラクト等の詳細は、当コースのホームページ
https://www.math.kyoto-u.ac.jp/ja/ktgu/coursesをご覧ください。