Dear All,
There is a field called algebraic analysis (or microlocal analysis) originated in works by Sato and Kashiwara. They study differential equations combining complex analysis, sheaf theory, and D-modules. I do not know much about applications, but as far as I understood, these techniques allow to generalize Cauchy-Kowalevski theorem and play an important role in the computation of the index of a differential operator.
I think it might be interesting to invite somebody from this field to DART, maybe even ask to give couple of survey talks.
I found only one survey, but it is quite formal and does not include applications: https://arxiv.org/pdf/1206.1435v3.pdf (more theoretic)
Here are some people in the field http://www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/ https://webusers.imj-prg.fr/~pierre.schapira/ http://docenti.math.unipd.it/dagnolo/coordinates.php?lan=0
Maybe you or members of PC know more about the subject and can give some recommendations.
Sincerely yours, Gleb
Hi Gleb,
thanks for these suggestions. I don't know if Georg already told you, but we decided today in the morning that we would all meet tomorrow at 4pm to discuss the responses by the advisory board members. At this stage, we can add further candidates to the list.
Manuel
On 10/24/2016 02:17 PM, Gleb Pogudin wrote:
Dear All,
There is a field called algebraic analysis (or microlocal analysis) originated in works by Sato and Kashiwara. They study differential equations combining complex analysis, sheaf theory, and D-modules. I do not know much about applications, but as far as I understood, these techniques allow to generalize Cauchy-Kowalevski theorem and play an important role in the computation of the index of a differential operator.
I think it might be interesting to invite somebody from this field to DART, maybe even ask to give couple of survey talks.
I found only one survey, but it is quite formal and does not include applications: https://arxiv.org/pdf/1206.1435v3.pdf (more theoretic)
Here are some people in the field http://www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/ https://webusers.imj-prg.fr/~pierre.schapira/ http://docenti.math.unipd.it/dagnolo/coordinates.php?lan=0
Maybe you or members of PC know more about the subject and can give some recommendations.
Sincerely yours, Gleb
Dart8 mailing list Dart8@algebra.uni-linz.ac.at http://www.algebra.uni-linz.ac.at/cgi-bin/mailman/listinfo/dart8
Hi Manuel,
Georg did not tell me the time, but I know that the meeting will be. Let's discuss it there.
Bests, Gleb
2016-10-24 16:08 GMT+02:00 Manuel Kauers mkauers@gmail.com:
Hi Gleb,
thanks for these suggestions. I don't know if Georg already told you, but we decided today in the morning that we would all meet tomorrow at 4pm to discuss the responses by the advisory board members. At this stage, we can add further candidates to the list.
Manuel
On 10/24/2016 02:17 PM, Gleb Pogudin wrote:
Dear All,
There is a field called algebraic analysis (or microlocal analysis) originated in works by Sato and Kashiwara. They study differential equations combining complex analysis, sheaf theory, and D-modules. I do
not
know much about applications, but as far as I understood, these
techniques
allow to generalize Cauchy-Kowalevski theorem and play an important role
in
the computation of the index of a differential operator.
I think it might be interesting to invite somebody from this field to
DART,
maybe even ask to give couple of survey talks.
I found only one survey, but it is quite formal and does not include applications: https://arxiv.org/pdf/1206.1435v3.pdf (more theoretic)
Here are some people in the field http://www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/ https://webusers.imj-prg.fr/~pierre.schapira/ http://docenti.math.unipd.it/dagnolo/coordinates.php?lan=0
Maybe you or members of PC know more about the subject and can give some recommendations.
Sincerely yours, Gleb
Dart8 mailing list Dart8@algebra.uni-linz.ac.at http://www.algebra.uni-linz.ac.at/cgi-bin/mailman/listinfo/dart8
Dart8 mailing list Dart8@algebra.uni-linz.ac.at http://www.algebra.uni-linz.ac.at/cgi-bin/mailman/listinfo/dart8
-
Gleb Pogudin -
Manuel Kauers