# Factorization Homology

##### Temas da matemática contemporânea

IMPA, Rio de Janeiro, March 23 – 25, 2016

There is a relationship between higher algebra/category theory and differential topology. Evidence of this is abundant. For instance, Khovanov homology can be regarded as a knot invariant obtained from a suitable representation of a quantum group, the collection of which forms a braided monoidal category. Also, Turaev-Viro 3-manifold invariants are constructed from a suitably finite monoidal category. In the other direction, deformations of a point in an En-scheme over characteristic zero, such as a variety over the complex numbers, are indexed by framed n-manifolds. Hochschild (co)homology is an instance of this for n=1. This series will dwell on the foundations of this relationship. The talks will be framed by one main result, and a couple formal applications thereof. The main construction is factorization homology with coefficients in higher (enriched) categories. The body of the talks will focus on precise definitions, emphasizing the essential aspects that facilitate the coherent cancellations which support the main result.

Program

## Invited Speakers

David Ayala (Montana)
John Francis (Northwestern)
Gregory Ginot (Jussieu)

List

## Conference Venue

IMPA is located in the South Zone of Rio de Janeiro, near the Tijuca Forest and the Botanical Gardens, 20 minutes from major hotels of Leblon and Ipanema. You can find our address and some practical information about how to get to the institution below.

 Estrada Dona Castorina, 110 Jardim Botânico Zip Code 22460-320 Rio de Janeiro, RJ – Brazil Phone number: (55 21) 2529-5000 Fax: (55 21) 2512-4115 E-mail: eventosimpa.br

How to get to IMPA:

From the airport

On leaving the airport we suggest that you take a taxi. There are several companies that have booths located inside the airport facilities, on the way out. A ride to South Zone costs around R$120 to R$150 and takes about 50 minutes. There are also special buses leaving from Terminals 1 and 2, whose routes you can find here.

Buses

There are three bus lines running near the Institute:

• 409 – Saens Peña – Horto (via Lapa)
• 416 – Saens Peña – Jardim Botânico (Horto) (via Túnel Rebouças)

You can check which buses line is the best for you by clicking here.

The passenger must pay as they enter, using the front door to get on the bus and the rear door to get off the bus. The bus fare is R$3,80 and the maximum change given is for a R$ 20,00 bill.

Should you prefer to use a taxi, we suggest the following companies:

MAP of the area

## Suggested Accommodations

Rio de Janeiro has a large number of hotels. Lately, for the main congresses, we have been using Hotel Acapulco, Everest Rio Hotel, Everest Park Hotel, Hotel Debret, Hotel Vermont, among others. To take advantage of IMPA´s special rate, please contact Ms. Michele Leite at MMX Eventos – micheleleite@mmxcongressos.com – phone: + 55 21 2210-1732 or visit their homepage at: www.mmxcongressos.com

For other type of accommodation like hostels and bed and breakfast, we suggest the following:

Pouso Verde Bed & Breakfast (very close to IMPA and strongly recommended)
Rua Caminhoá, 14 – Jardim Botânico
Tel: + 55 21 2529-2942 , + 55 21 99971-0511
e-mail: pousoverde@globo.com
www.pousoverde.com

Hostels

Botafogo:

Meiai Hostel:
R. Guilhermina Guinle, 127 – Botafogo
Tel: 55(21) 3495-4481
www.meiai.com.br

Copacabana:

Travessa Angrense, 25 A – Copacabana (entre Santa Clara e Raimundo Correa)
Tel: 55(21)2256-6951 / Fax: 55(21) 2286-5652

Humaitá:

Lagoa Guest House
Rua do Humaitá, 392 – Humaitá
Tel: 55(21) 3518-9000
E-mail: contato@lagoaguesthouse.com
www.lagoaguesthouse.com

Ipanema:

Che Lagarto Ipanema
Rua Paul Redfern 48 – Ipanema
Tel: 55(21) 2512-8076
www.chelagarto.com

Leblon:
Leblon Spot (associado à Hostelling International)
Rua Dias Ferreira, 626 – Leblon
Tel: 55(21) 2137-0090
E-mail: contact@leblonspot.com
www.leblonspot.com

Please check availability and prices directly with them

# Institutional

Flats

Hotels

Others

## Visa Information

The Brazilian visa system operates under a strict reciprocity policy. That means that all citizens from countries which require visas from Brazilians will have to obtain visas to attend the conference. Beware that to attend a scientific conference in Brazil a tourist visa suffices. Source: Consulate General of Brazil

Foreign participants should get in touch with the nearest Brazilian Consulate (click on the map) to find out whether a visa is required.
Here you find the list of nationalities that are exempt from this requirement, see also the official Ministry of Tourism page, that includes the whole of the European Union and Mercosur. Those who do need visa should note that a tourist visa suffices for the conference attendance; for more information about Brazil, visit the official Brazilian Institute of Tourism website.