AIS Combinatorics (2014)
Venue: | Harish-Chandra Research Institute, Allahabad |
Dates: | 28th April to 17thMay |
Convener(s) | Speakers, Syllabus and Time table | Applicants/Participants |
Name | S. D. Adhikari | Satya Deo | Thangadurai |
Mailing Address | Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad - 211019 | Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad - 211019 | Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad - 211019 |
Brief Description: To introduce some selected advanced topics in ‘Combinatorics’ to the young researchers who are doing research in the related area in India. We intend to cover Topological methods in Combinatorics, Algebraic Graph Theory, Zero-sum problems connected to Combinatorics and Number Theory, and Ramsey type results.
Objective: To introduce advanced topics in ‘Combinatorics’ to young researchers in India. In this school, we will cover the following topics:
- Speaker: Professor Satya Deo (6 lectures)
Title of lecture:Topological methods in Combinatorics
Abstract and outline:A brief description of Simplicial Complexes and Simplicial Homology, the BorsukUlam Theorem- its discrete version as well as the continuous version, the Ham Sandwich Theorem, colored partitions and necklaces, Kneser conjecture and its proof.
- Speaker: Professor Sharad S. Sane (6 lectures)
Title of lecture: Advanced topics in Algebraic Graph Theory
Abstract and outline: Cut and Flow Spaces, Bases and Ear Decomposition, Integer Cuts and Flows, Conjectures associated with nowhere zero flow, Chip Firing, Recurrent States and Critical States, Dollar Game and the Critical Group, Vornoi Polyhedra, Bicycles, Rank Polynomial and the Tutte Polynomial.
- Speaker: Dr. R. Thangadurai (6 lectures):
Title of lecture: Zero-sum problems in combinatorial number theory
Abstract and outline: Davenport Constant, EGZ Theorem and its two Generalizations, Gao’s Theorem and Alon Dubiner’s Theorem.
- Speaker: Dr. Gyan Prakash (6 lectures)
Title of lecture: Ramsey-type results
Abstract and outline: Polynomial van der Waerden Theorem, Hales Jewett Theorem
- Speakers: Professor S. D. Adhikari and Dr. Dibyendu De (6 + 6 lectures)
Title of lecture: Ramsey-type results
Abstract and outline: Theorems of Schur and its generalizations including Folkman-Sanders theorem and Hindman’s theorem; Combinatorial, ultrafilter and dynamical methods; Applications.
Speakers and Participants
Speakers: 6 Indian Speakers (2 out-station speakers)
Participants: 25 Doctoral (SRF) students (all are outstation)
List of Speakers.
1. S. D. Adhikari, HRI, Allahabad
2. Satya Deo, HRI, Allahabad
3. S. Sane, IIT, Mumbai
4. G. Prakash, HRI, Allahabad
5. Dibyendu De, Kalyani University, Kolkata
6. R. Thangadurai, HRi, Allahabad
List of Tutors
1. M. Chintamani, University of Hyderabad
2. B. K. Moriya, HRI, Allahabad
3. Maitra, University of Jabalpur
4. Eshita Mazumdar, HRI, Allahabad
Lecture Notes : We shall be giving lecture notes, related materials to the participants during the school.
Time Table
Morning two 1 and 1/2 hours talks meant for main topics. 6 speakers will cover their topics in 6 lectures each. After lunch, two one hour talk meant for Discussion and
Tutorials. We shall give the tentative time-table as below.
First Week
Date | 09:30 - 11:00 | 11:30 - 13:00 | 14:30 - 15:30 | 16:00-17:00 |
28.04.14 | Deo | Sane | Bhavin/Sane | Maitra/Deo |
29.04.14 | Deo | Sane | Bhavin/Sane | Maitra/Deo |
30.04.14 | Deo | Sane | Bhavin/Sane | Maitra/Deo |
01.05.14 | Deo | Sane | Bhavin/Sane | Maitra/Deo |
02.05.14 | Deo | Sane | Bhavin/Sane | Maitra/Deo |
03.05.14 | Deo | Sane | Bhavin/Sane | Maitra/Deo |
Second Week
Date | 09:30 - 11:00 | 11:30 - 13:00 | 14:30 - 15:30 | 16:00-17:00 |
05.05.14 | Thanga | Adhikari | Eshita/Adhikari | Chinta/Thanga |
06.05.14 | Thanga | Adhikari | Eshita/Adhikari | Chinta/Thanga |
07.05.14 | Thanga | Adhikari | Eshita/Adhikari | Chinta/Thanga |
08.05.14 | Thanga | Adhikari | Eshita/Adhikari | Chinta/Thanga |
09.05.14 | Thanga | Adhikari | Eshita/Adhikari | Chinta/Thanga |
10.05.14 | Thanga | Adhikari | Eshita/Adhikari | Chinta/Thanga |
Third Week
Date | 09:30 - 11:00 | 11:30 - 13:00 | 14:30 - 15:30 | 16:00-17:00 |
12.05.14 | Gyan | De | Eshita/De | Bhavin/Gyan |
13.05.14 | Gyan | De | Eshita/De | Bhavin/Gyan |
14.05.14 | Gyan | De | Eshita/De | Bhavin/Gyan |
15.05.14 | Gyan | De | Eshita/De | Bhavin/Gyan |
16.05.14 | Gyan | De | Eshita/De | Bhavin/Gyan |
17.05.14 | Gyan | De | Eshita/De | Bhavin/Gyan |
Selected Applicants |
Sr. | SID | Full Name | Gender | Affiliation | State | Position | University / Institute M.Sc./ M.A. | Year of Passing M.Sc./ M.A | Ph.D. deg. |
1 | 4742 | Ms. P Saranya | Female | Sri sarada college for women | Tamil nadu | Ph.D | Sri sarada college for women salem - 16 | 2011 | |
2 | 4753 | Mr. N. Annamalai | Male | Bharathidasan university | Tamil nadu | PhD Student | M.Sc. | 2011 | |
3 | 4759 | Mr. Mushtaq Ahmad Bhat | Male | University of kashmir | Jammu and kashmir | Ph.D. | Kashmir University | 2011 | |
4 | 4760 | Mr. Hilal Ahmad Ganie | Male | University of kashmir. | Jammu and kashmir | Ph.D. | Kashmir University | 2011 | |
5 | 4762 | Mr. Vishal Gupta | Male | Swami vivekananda subharti university | Uttar pradesh | Assistant professor | IIT GUWAHATI | 2010 | |
6 | 4878 | Mr Mundlamuri Venkata Rao | Male | Velagapudi ramakrishna siddhartha engineering college vijayawda-520007 | Andhra pradesh | Assistant professor | Scince college Nanded Maharashtra | 1995 | |
7 | 4914 | Dr Konda Srinivasa Rao | Male | Scsvmv university | Tamil nadu | Assoc. Professor | J N T University | 1993 | 6 Feb 2010 |
8 | 4924 | Mr. Gaurav Tiwari | Male | Gautam buddha university | Uttar pradesh | MSc Student | GAUTAM BUDDHA UNIVERSITY | Awaiting Result | |
9 | 4929 | Mr Ravi Kumar Davala | Male | National institute of technology - rourkela | Orissa | Research Scholar | Indian institute of technology kanpur | 2007 | |
10 | 4933 | Dr Ashok Kumar Goli | Male | M.v.g.r.r. degree college, bhattiprolu | Andhra pradesh | Reader | OSMANIA UNIVERSITY, HYDERABAD | 1985 | 4 May 1992 |
11 | 4948 | Mr. Arindam Das | Male | Nit rourkela | West bengal | M.SC Student | NIT ROURKELA | Awaiting Result | |
12 | 4966 | Dr Reji Kumar Karunakaran | Male | Nss college, nilamel | Kerala | Assistant Professor | Uty of Kerala | 1996 | 4 Apr 2006 |
13 | 5007 | Mr Sameer Ahmad Gupkari | Male | Govt degree college | Jammu and kashmir | Assistant Professor | University of Kashmir | 2003 | |
14 | 5060 | Mr Pintu Debnath | Male | Department of mathematics, university of kalyani Department of mathematics, university of kalyani |
West bengal | Research Scholar | Jadavpur University | 2012 | |
15 | 5117 | Mrs Komal Pravin Wategaonkar | Female | Royal college of arts, science and commerce, mira road, thane | Maharashtra | Assistant Professor | I.I.T., Bombay | 2000 | |
16 | 5120 | Mr Durai Baskar Arunachalam | Male | Mepco schlenk engineering college, sivakasi | Tamil nadu | Assistant Professor | St. Xavier's College, Palayamkottai | 2001 | |
17 | 5122 | Mr Gurusamy Rajendran | Male | Mepco schlenk engineering college, sivakasi | Tamil nadu | Assistant Professor | Ayya Nadar Janaki Ammal College, Sivakasi | 2008 | |
18 | 5137 | Mr Jervin Zen Lobo | Male | Agnel institute of technology and design | Goa | Assistant Professor | Goa University | 2012 | |
19 | 5184 | Mr. Bhairunath Shivaji Satpute | Male | Vaidyanath college parli-v. | Maharashtra | Assistant Professor | Shivaji Univercity Kolapur | 2002 | |
20 | 5224 | Mr Himanshu Ranjan | Male | Sobhasaria group of institutions | Rajasthan | Assistant Professor | U. P. College, Varanasi | 2004 | |
21 | 5233 | Dr. Kunhanandan Mailattu | Male | Goa university | Goa | Assistant Professor | University of Calicut | 1989 | 20 Jan 2012 |
22 | 5262 | Mr Kamalakshya Mahatab | Male | Institute of mathematical sciences | Tamil nadu | Senior Research Fellow | The Institute of Mathematical Sciences, Chennai | 2012 | |
23 | 5296 | Ms. Samidha Yadav | Female | C.s.j.m university | MPhil Student | C.S.J.M University(M.Sc.) | 2011 | ||
24 | 5298 | Ms. Km Sweta Gupta | Female | C.s.j.m university | MPhil Student | IIT ROORKEE(M.Sc.) | 2011 | ||
25 | 5306 | Mr. Kamesh Kumar | Male | Gurukula kangri university | Uttarakhand/ uttaranchal | Research Scholar | Gurukula Kangri University, Haridwar | 2010 | |
26 | 5319 | Mr Pandith Giri Mohan Das | Male | J.n.n.c.e | Karnataka | Assistant Professor | Kuvempu University/M.Sc | 2006 | |
27 | 5320 | Dr. Manoj Kumar Patel | Male | Nit-nagaland | Nagaland | Assistant Professor | VBS Poorvanchal University, Jaunpur | 2004 | 1 Jul 2011 |
28 | 5322 | Mr. Dilip Jain | Male | Teaching assistant at s.v.n.i.t., surat gujrat | Gujarat | Teaching Assistant | IIT Delhi | 2012 |
How to reach
1.By train
Allahabad is well connected by train from various parts of the country. The most convenient trains from New Delhi to Allahabad are 12418 Prayagraj Express, and 12276 Duronto Express. Trains passing through Allahabad include 12311 Howrah–Kalka Mail, 12322 Mumbai–Howrah Mail, and 12669 Chennai–Chhapra Ganga Kaveri Express. For detailed information on these and other trains to Allahabad, please see the Indian Railways Web sites.
2.By air
There is a single daily flight, AI 9811 of Air India, from Delhi to Allahabad on all days of the week except Sunday. For details, please see the Air India Web site.
3.By road
Allahabad is 238 km. from Lucknow, and 125 km. from Varanasi. There are frequent bus services between these cities and Allahabad, typically once every half hour. Private taxis also operate on these routes.
The road journey from Lucknow to Allahabad takes about 5 hours. Buses leave Lucknow from the Charbagh Bus Depot, and terminate at the Civil Lines Bus Depot in Allahabad.
The road journey from Varanasi to Allahabad takes about 3 hours. Most vehicles enter Allahabad along the Shastri Bridge over the river Ganga. In that case, one reaches Chak, a place near the Institute (see below), before Allahabad city.
4.From Allahabad city to HRI
The HRI campus is at Jhusi, about 13 km. from Allahabad city towards Varanasi. The Institute operates a regular bus service from the HRI City Guest House, to the campus. Please see http://www.hri.res.in/contact.html for the address and phone number of the City Guest House, and http://www.hri.res.in/∼yashpal/busschedule.pdf for the timetable of bus services between the City Guest House and the campus.
If you are coming to Allahabad by train, then come out through the Civil Lines Exit of the station, and take a rickshaw or a tempo from the station to the HRI City Guest House. The distance from the station to the City Guest House is about 4 km.
If you are coming from the city to HRI by a vehicle other than an HRI bus, the following information may be useful. To reach the campus from the city, one goes along the Shastri bridge over the river Ganga. Three km. beyond the end of the bridge, along the Grand Trunk Road (G. T. Road), there is an HRI sign, where one should turn right, off the highway and into Chhatnag Road. This point on the G. T. Road is called Chak. The HRI campus is a further 3 km. from Chak, along Chhatnag Road. The entrance to the campus is about 100 m. before the Birla Guest House, an establishment owned by a private industrial company.