Dear all,
On Tuesday June 21st, Masahiro Hamano (Miin Wu School of Computing, National Cheng Kung University) will give a talk, A Linear Exponential Comonad in s-finite Transition Kernels and Probabilistic Coherent Spaces, for our project colloquium during at 16:30. Further details can be found below.
If you would like to attend, please register through the following Google form:
https://forms.gle/6PoGNEfJVHLYDAdKA
We later send you a zoom link by an email (using BCC).
For the latest information about ERATO colloquium / seminar, please see the webpage https://docs.google.com/document/d/1Qrg4c8XDkbO3tmns6tQwxn5lGHOrBON5LtHXXTp… .
Clovis Eberhart (ERATO MMSD Colloquium Organizer)
Shin-ya Katsumata
Email: eberhart(a)nii.ac.jp, s-katsumata(a)nii.ac.jp
-------
Tuesday June 21st 16:30
Speaker:
Masahiro Hamano (Miin Wu School of Computing, National Cheng Kung University)
Title:
A Linear Exponential Comonad in s-finite Transition Kernels and
Probabilistic Coherent Spaces
Abstract:
This talk presents a novel construction of linear exponential comonad
arising properly in the continuous measure-theory. Our construction in
particular gives a discrete measure account of Danos-Ehrhard 's
probabilistic coherent spaces. The talk starts with constructing a
linear exponential comonad over a symmetric monodical category of
transition kernels, relaxing Markov kernels of Panangaden’s
stochastic relations into Staton's s-finite kernels. Our model
supports an orthogonality in terms of an integral between measures and
measurable functions, which can be seen as a continuous extension of
Girard-Danos-Ehrhard’ s linear duality for probabilistic coherent
spaces. The orthogonality is formulated by Hyland-Schalk double
glueing construction, into which our measure theoretic monoidal
comonad structure is accommodated. As an application to countable
measurable spaces, a dagger compact closed category is obtained, whose
double glueing gives rise to the familiar category of probabilistic
coherent spaces.
ERATO蓮尾プロジェクトの勝股です。もう一つの講演のご案内をいたします。
Dear all,
On Tuesday 10 May, Nuiok Dicaire and Jean-Simon Pacaud Lemay will give talks for our project colloquium during 16:00-18:00. Further details can be found below.
If you would like to attend, please register through the following Google form:
https://forms.gle/6PoGNEfJVHLYDAdKA
We later send you a zoom link by an email (using BCC).
For the latest information about ERATO colloquium / seminar, please see the webpage https://docs.google.com/document/d/1Qrg4c8XDkbO3tmns6tQwxn5lGHOrBON5LtHXXTp… .
Shin-ya Katsumata (ERATO MMSD Colloquium Organizer)
Email: s-katsumata(a)nii.ac.jp
-------
Tuesday 10 May 2022, 16:00-17:00
Nuiok Dicaire, the University of Edinburgh
Title: A new approach to localising monads
Abstract: Monads have many useful applications both in mathematics and in computer science. Notably they provide a convenient way to describe computational side-effects. An important question is how to handle several instances of such side-effects or a graded collection of them. The usual approach consists in defining many “small” monads and combining them together using distributive laws.
In this talk, we take a different approach and look for a pre-existing internal structure to a monoidal category that allows us to develop a fine-graining of monads. This uses techniques from tensor topology and provides an intrinsic theory of local computational effects without needing to know how the constituent effects interact beforehand. We call the monads obtained "localisable" and show how they are equivalent to monads in a specific 2-category. To motivate the talk, we will briefly consider applications in concurrency and quantum theory. We will conclude the talk by looking at how the theory of localisable monads can be combined with graded-monads and category-graded monads.
Tuesday 10 May 2022, 17:00 - 18:00
Jean-Simon Pacaud Lemay (JSPS postdoctoral fellow)
Title: A tour around the world of differential categories
Abstract: The theory of differential categories uses category theory to provide the abstract foundations of differential calculus in both mathematics and computer science. Differential categories have recently gained lots of interest and popularity. In mathematics, differential categories have found applications in commutative algebra, differential geometry, algebraic geometry, and synthetic differential geometry. In computer science, differential categories have found applications in differential linear logic, differential lambda calculus, differentiable programming, automatic differentiation, and machine learning.
In this talk, I will provide a tour on the world of the differential categories. We will visit the four chapters of differential categories:
1. Differential categories, which axiomatize the algebraic foundations of differentiation.
2. Cartesian differential categories, which axiomatize differential calculus over Euclidean spaces.
3. Differential restriction categories, which axiomatize differential calculus over open spaces.
4. Tangent categories, which axiomatize differential calculus over smooth manifolds.
We will talk about the famous "map of differential categories", and also the history and applications of differential categories.
皆様、
ERATO蓮尾プロジェクトで以下の講演を予定しており、ご案内いたします。
勝股
----------
Dear all,
On Tuesday May 17th, Nick Hu, (a doctoral student at the University of
Oxford) will give a talk, homotopy.io: a proof assistant for
finitely-presented globular n-categories, for our project colloquium
at 16:30. Further details can be found below.
If you would like to attend, please register through the following Google form:
https://forms.gle/6PoGNEfJVHLYDAdKA
We later send you a zoom link by an email (using BCC).
For the latest information about ERATO colloquium / seminar, please see the webpage https://docs.google.com/document/d/1Qrg4c8XDkbO3tmns6tQwxn5lGHOrBON5LtHXXTp… .
Clovis Eberhart (ERATO MMSD Colloquium Organizer)
Email: eberhart(a)nii.ac.jp
-------
Tuesday May 17th, 16:30
Speaker: Nick Hu (University of Oxford)
Title:
homotopy.io: a proof assistant for finitely-presented globular n-categories
Abstract:
String diagrams present a convenient calculus for monoidal
categories which appeal to topological intuitions and quotient
out 'bureaucratic' coherence data. When regions are coloured
(i.e. information-carrying), they analogously provide a
graphical calculus for bicategories. Generalising,
n-categories are difficult to define and manipulate
algebraically, but intuitively correspond to an n-dimensional
string diagram calculus. For n > 3, manipulating n-dimensional
string diagrams quickly becomes unwieldy and error-prone.
Towards this aim, we introduce the proof assistant
homotopy.io.
皆様 (重複ご容赦下さい)
国立情報学研究所の関山です。
関数型および論理プログラミングの国際会議 FLOPS 2022 のプログラムが確定いたし
ましたのでご案内いたします。
FLOPS 2022 は 5/10(火)-12(木) 夜間(+初日のみ午前)のオンライン開催です。
プログラムなどの詳しい情報は以下のページをご覧ください。
https://conf.researchr.org/home/flops-2022
参加登録は以下のページからお願いいたします。
https://conf.researchr.org/attending/flops-2022/registration
早期参加登録締切は 2022 4/27 23:59 (UTC)、
最終参加登録締切は 2022 5/5 23:59 (UTC) となっていますのでご注意ください。
また、空いている午後の時間にインフォーマルなワークショップ AiDL 2022 を
開催いたします。
京都大学数理解析研究所での対面と、Zoomのハイブリッド開催の予定です。
引き続き講演提案を募集していますので、併せて応募をご検討下さい。
AiDL 2022 講演募集:
https://conf.researchr.org/track/flops-2022/aidl-2022
講演募集締切:4/30 AoE (前回の募集から延長しています)
AiDL 2022 の参加登録も
https://conf.researchr.org/attending/flops-2022/registration
で受け付けています。
対面ワークショップは「新型コロナウイルスに関するRIMS共同研究の対応について」
https://www.kurims.kyoto-u.ac.jp/kyoten/ja/covid-19.html
に沿って実施いたします。最新の情報は FLOPS 2022 のウェブサイト
https://conf.researchr.org/home/flops-2022
をご覧下さい。
皆様のご参加をお待ちしております。
============================================================================
Call For Participation & Workshop talk proposals (extended)
FLOPS 2022: 16th International Symposium on Functional and Logic Programming
============================================================================
In-Cooperation with ACM SIGPLAN
May 10-12, 2022, Online
Registration is open for FLOPS 2022.
https://conf.researchr.org/attending/flops-2022/registration
Deadlines for registration are:
(Early) 27 April, 2022, 23:59 (UTC)
(Late) 5 May, 2022, 23:59 (UTC)
*** Call for talk proposals: AiDL 2022 ***
An extra workshop, AiDL 2022 (Workshop on Advances in Declarative Languages),
will be held in hybrid (online / physical) format in Kyoto, Japan.
Venue: Hybrid (Online / RIMS, Kyoto University, Japan)
Talk proposal deadline (extended): April 30, 2022 (AoE)
Details:
https://conf.researchr.org/track/flops-2022/aidl-2022
*** Venue / Dates for the extra workshop ***
This extra event will take place early afternoon (UTC+9), 10-12 May at the
venue, RIMS - Research Institute for Mathematical Sciences, Kyoto
University, Japan, without any interference with the main FLOPS conference
slots, and remote participants are able to attend via Zoom.
*** FLOPS 2022 Accepted Papers ***
The list of FLOPS 2022 accepted papers is at
https://conf.researchr.org/track/flops-2022/flops-2022-papers#event-overview
*** FLOPS 2022 Invited Speakers ***
Lindsey Kuper (University of California at Santa Cruz)
Akimasa Morihata (University of Tokyo)
Peter J. Stuckey (Monash University)
*** FLOPS 2022 Program Committee ***
Andreas Abel Gothenburg University, Sweden
Elvira Albert Universidad Complutense de Madrid
Nada Amin Harvard Universuty, USA
Davide Ancona Univ. Genova, Italy
William Byrd University of Alabama, USA
Matteo Cimini UMass Lowell, USA
Youyou Cong Tokyo Institute of Technology, Japan
Robert Glück University of Copenhagen, Denmark
Makoto Hamana Gunma University, Japan
Michael Hanus Kiel University (co-chair)
Zhenjiang Hu Peking University, China
Atsushi Igarashi Kyoto University, Japan (co-chair)
Ekaterina Komendantskaya Heriot-Watt University, UK
Shin-Cheng Mu Academia Sinica, Taiwan
Koko Muroya Kyoto University, Japan
Klaus Ostermann University of Tuebingen, Germany
Ricardo Rocha University of Porto, Portugal
Tom Schrijvers KU Leuven, Belgium
Harald Sondergaard University of Melbourne, Australia
Hiroshi Unno University of Tsukuba, Japan
Niki Vazou IMDEA, Spain
Janis Voigtlaender University of Duisburg-Essen, Germany
Nicolas Wu Imperial College, UK
Ningning Xie University of Hong Kong, China
Jeremy Yallop University of Cambridge, UK
Neng-Fa Zhou City University of New York, USA
*** FLOPS 2022 Organizers ***
Michael Hanus Kiel University, Germany (PC Co-Chair)
Atsushi Igarashi Kyoto University, Japan (PC Co-Chair, General Chair)
Keigo Imai Gifu University, Japan (Local Co-Chair)
Taro Sekiyama National Institute of Informatics, Japan (Local Co-Chair)
--
国立情報学研究所
関山 太朗