{"id":6446,"date":"2026-10-19T09:48:55","date_gmt":"2026-10-19T09:48:55","guid":{"rendered":"https:\/\/phd.hi.is\/doktorsvorn\/doktorsvorn-i-edlisfraedi-rahul-poddar\/"},"modified":"2026-10-19T09:48:55","modified_gmt":"2026-10-19T09:48:55","slug":"doktorsvorn-i-edlisfraedi-rahul-poddar","status":"publish","type":"phd_defence","link":"https:\/\/phd.hi.is\/en\/doktorsvorn\/doktorsvorn-i-edlisfraedi-rahul-poddar\/","title":{"rendered":"Doktorsv\u00f6rn \u00ed e\u00f0lisfr\u00e6\u00f0i – Rahul Poddar"},"content":{"rendered":"
\n
\n

Doktorsefni:
<\/strong>Rahul Poddar<\/p>\n

Heiti ritger\u00f0ar:
<\/strong>Bj\u00f6gu\u00f0 virkni og zetaf\u00f6ll \u00ed \u00fer\u00edv\u00ed\u00f0ri \u00feyngdarfr\u00e6\u00f0i<\/p>\n

Andm\u00e6lendur:
<\/strong>Dr. Alejandra Castro, d\u00f3sent vi\u00f0 Cambridge-h\u00e1sk\u00f3la \u00ed Bretlandi, Daniel Grumiller, d\u00f3sent vi\u00f0 TU Wien-h\u00e1sk\u00f3la \u00ed Austurr\u00edki.<\/p>\n

Lei\u00f0beinandi
<\/strong>L\u00e1rus Thorlacius, pr\u00f3fessor vi\u00f0 Raunv\u00edsindadeild H\u00e1sk\u00f3la \u00cdslands<\/p>\n

Einnig \u00ed doktorsnefnd:
<\/strong>Dr. Valentina Giangreco M. Puletti, pr\u00f3fessor vi\u00f0 Raunv\u00edsindadeild H\u00e1sk\u00f3la \u00cdslands, Monica Guica, s\u00e9rfr\u00e6\u00f0ingur vi\u00f0 Institut de Physique Th\u00e9orique, CEA Saclay, Frakklandi.<\/p>\n

Stj\u00f3rnandi varnar:
<\/strong>Dr. Einar \u00d6rn Sveinbj\u00f6rnsson, pr\u00f3fessor og deildarforseti Raunv\u00edsindadeildar H\u00e1sk\u00f3la \u00cdslands.<\/p>\n

\u00c1grip:
<\/strong>Ritger\u00f0 \u00feessi fjallar um tv\u00f6 vi\u00f0fangsefni \u00ed \u00feyngdarfr\u00e6\u00f0i \u00ed \u00fer\u00edv\u00ed\u00f0u t\u00edmar\u00fami. Annars vegar svonefnda TT–<\/strong>bj\u00f6gun og hins vegar zetaf\u00f6ll fyrir \u00fer\u00edv\u00ed\u00f0 deilda\\-r\u00fam. TT-bj\u00f6gun \u00e1 tv\u00edv\u00ed\u00f0u skammtasvi\u00f0sl\u00edkani me\u00f0 hli\u00f0runarsamhverfu er v\u00edkjandi bj\u00f6gun, \u00ed skilningi endurst\u00f6\u00f0lunar, sem lei\u00f0ir ekki til \u00f3samleitni \u00e1 stuttum lengdarkvar\u00f0a. \u00cd fyrri hluta riger\u00f0arinnar er sj\u00f3num beint a\u00f0 TT–<\/strong>bj\u00f6gun \u00e1 undinni hornr\u00e6kinni svi\u00f0sfr\u00e6\u00f0i, sem hefur \u00feyngdarfr\u00e6\u00f0ilega framsetningu \u00ed \u00fer\u00edv\u00ed\u00f0u t\u00edmar\u00fami me\u00f0 neikv\u00e6\u00f0an heimsfasta. Undin hornr\u00e6kin svi\u00f0sfr\u00e6\u00f0i hefur Virasoro x U(1) Kac-Moody samhverfualgebru. Kanna\u00f0 er hva\u00f0a \u00e1hrif TT-bj\u00f6gun sl\u00edkrar kenningar hefur \u00e1 ja\u00f0arskilyr\u00f0i og samhverfu \u00ed tilsvarandi \u00feyngdarfr\u00e6\u00f0il\u00edkani. Helstu ni\u00f0urst\u00f6\u00f0ur eru a\u00f0 U(1) samhverfan er \u00f3breytt en Virasoroalgebran bjagast og er ekki lengur hendin. Selberg zetafall er skilgreint sem Eulermargfeldi yfir frumgagnvegi \u00e1 brei\u00f0ger\u00f0u deildar\u00fami. Me\u00f0 hj\u00e1lp \u00feess er mun au\u00f0veldara a\u00f0 reikna r\u00f3f hreyfiorkuvirkja \u00ed skammtasvi\u00f0l\u00edk\u00f6num heldur en me\u00f0 hef\u00f0bundnum a\u00f0fer\u00f0um. \u00cd seinni hluta ritger\u00f0arinnar er kynnt til s\u00f6gunnar n\u00fdtt zetafall sem er alh\u00e6fing \u00e1 Selberg zetafallinu fyrir fleiri deildar\u00fam en \u00feau sem eru brei\u00f0ger\u00f0. N\u00fdja zetafalli\u00f0 er \u00e1kvar\u00f0a\u00f0 annars vegar fyrir deildar\u00fam af undnu \u00fer\u00edv\u00ed\u00f0u t\u00edmar\u00fami me\u00f0 neikv\u00e6\u00f0an heimsfasta og hins vegar fyrir deildar\u00fam af fl\u00f6tu \u00fer\u00edv\u00ed\u00f0u t\u00edmar\u00fami. \u00cd b\u00e1\u00f0um tilvikum f\u00e6st samsv\u00f6run milli n\u00fallst\u00f6\u00f0va zetafallsins og tvinngilds eiginr\u00f3fs \u00e1 vi\u00f0komandi deildar\u00fami, sem er \u00ed samr\u00e6mi vi\u00f0 eldri ni\u00f0urst\u00f6\u00f0ur fyrir brei\u00f0ger\u00f0 deildar\u00fam.<\/p>\n

Um doktorsefni\u00f0:
<\/strong>Rahul er doktorsnemi \u00ed kennilegri e\u00f0lisfr\u00e6\u00f0i vi\u00f0 H\u00e1sk\u00f3la \u00cdslands. Hann lauk BS og MS \u00ed e\u00f0lisfr\u00e6\u00f0i fr\u00e1 indverska h\u00e1sk\u00f3lanum IISER \u00ed Pune \u00e1 Indlandi \u00e1ri\u00f0 2020. Ranns\u00f3knir hans eru \u00e1 svi\u00f0i skammtasvi\u00f0sfr\u00e6\u00f0i og \u00feyngdarskammtafr\u00e6\u00f0i me\u00f0 \u00e1herslu \u00e1 tv\u00edv\u00ed\u00f0ar hornr\u00e6knar svi\u00f0skenningar og bjaganir \u00feeirra.<\/p>\n<\/div><\/div>","protected":false},"featured_media":5835,"template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_phd_date_start":"2024-06-27T13:00:00+00:00","_phd_date_end":"2024-06-27T14:30:00+00:00","_phd_location":"A\u00f0albygging H\u00e1t\u00ed\u00f0arsalur","_phd_admission":"A\u00f0gangur \u00f3keypis","_phd_thesis_title":"Bj\u00f6gu\u00f0 virkni og zetaf\u00f6ll \u00ed \u00fer\u00edv\u00ed\u00f0ri \u00feyngdarfr\u00e6\u00f0i","_phd_source_url":"https:\/\/gamli.hi.is\/vidburdir\/doktorsvorn_i_edlisfraedi_rahul_poddar","_phd_source_node_id":"433597","_phd_source_type":"vidburdir","_phd_member_id":987,"footnotes":""},"phd_school":[101,93],"phd_discipline":[105],"class_list":["post-6446","phd_defence","type-phd_defence","status-publish","has-post-thumbnail","hentry","phd_school-raunvisindadeild","phd_school-verkfraedi-og-natturuvisindasvid","phd_discipline-phd-i-edlisfraedi"],"_links":{"self":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_defence\/6446","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_defence"}],"about":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/types\/phd_defence"}],"version-history":[{"count":0,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_defence\/6446\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/media\/5835"}],"wp:attachment":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/media?parent=6446"}],"wp:term":[{"taxonomy":"phd_school","embeddable":true,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_school?post=6446"},{"taxonomy":"phd_discipline","embeddable":true,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_discipline?post=6446"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}